456041040 has 480 divisors, whose sum is σ = 1876129920. Its totient is φ = 90574848.

The previous prime is 456041039. The next prime is 456041041. The reversal of 456041040 is 40140654.

It is an interprime number because it is at equal distance from previous prime (456041039) and next prime (456041041).

It is a Harshad number since it is a multiple of its sum of digits (24).

456041040 is a modest number, since divided by 41040 gives 4560 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 456041040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456041041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2904642 + ... + 2904798.

It is an arithmetic number, because the mean of its divisors is an integer number (3908604).

Almost surely, 2^456041040 is an apocalyptic number.

456041040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938064960).

456041040 is an abundant number, since it is smaller than the sum of its proper divisors (1420088880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456041040 is a wasteful number, since it uses less digits than its factorization.

456041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 456041040 is about 21355.1174194852. The cubic root of 456041040 is about 769.7233165695.

Adding to 456041040 its reverse (40140654), we get a palindrome (496181694).

It can be divided in two parts, 4560 and 41040, that multiplied together give a square (187142400 = 13680²).

The spelling of 456041040 in words is "four hundred fifty-six million, forty-one thousand, forty".