412353040 has 80 divisors (see below), whose sum is σ = 1048950720. Its totient is φ = 149506560.

The previous prime is 412353017. The next prime is 412353077. The reversal of 412353040 is 40353214.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 544342 + ... + 545098.

It is an arithmetic number, because the mean of its divisors is an integer number (13111884).

Almost surely, 2^412353040 is an apocalyptic number.

412353040 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 412353040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524475360).

412353040 is an abundant number, since it is smaller than the sum of its proper divisors (636597680).

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

412353040 is a wasteful number, since it uses less digits than its factorization.

412353040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 412353040 is about 20306.4777841949. The cubic root of 412353040 is about 744.3143640113.

The spelling of 412353040 in words is "four hundred twelve million, three hundred fifty-three thousand, forty".