457953440 has 192 divisors, whose sum is σ = 1304481024. Its totient is φ = 148635648.

The previous prime is 457953427. The next prime is 457953451. The reversal of 457953440 is 44359754.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1781792 + ... + 1782048.

It is an arithmetic number, because the mean of its divisors is an integer number (6794172).

Almost surely, 2^457953440 is an apocalyptic number.

457953440 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 457953440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652240512).

457953440 is an abundant number, since it is smaller than the sum of its proper divisors (846527584).

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

457953440 is a wasteful number, since it uses less digits than its factorization.

457953440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 41.

The square root of 457953440 is about 21399.8467284231. The cubic root of 457953440 is about 770.7977564361.

The spelling of 457953440 in words is "four hundred fifty-seven million, nine hundred fifty-three thousand, four hundred forty".