451442040 has 128 divisors (see below), whose sum is σ = 1574208000. Its totient is φ = 101426688.

The previous prime is 451442027. The next prime is 451442041. The reversal of 451442040 is 40244154.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 451442040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451442041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45006 + ... + 54114.

It is an arithmetic number, because the mean of its divisors is an integer number (12298500).

Almost surely, 2^451442040 is an apocalyptic number.

451442040 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 451442040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787104000).

451442040 is an abundant number, since it is smaller than the sum of its proper divisors (1122765960).

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

451442040 is a wasteful number, since it uses less digits than its factorization.

451442040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9189 (or 9185 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 451442040 is about 21247.1654580087. The cubic root of 451442040 is about 767.1271142915.

Adding to 451442040 its reverse (40244154), we get a palindrome (491686194).

The spelling of 451442040 in words is "four hundred fifty-one million, four hundred forty-two thousand, forty".