457624440 has 384 divisors, whose sum is σ = 1868630400. Its totient is φ = 94556160.

The previous prime is 457624429. The next prime is 457624441. The reversal of 457624440 is 44426754.

457624440 is a `hidden beast` number, since 4 + 576 + 2 + 44 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 457624395 and 457624404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457624441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1998246 + ... + 1998474.

It is an arithmetic number, because the mean of its divisors is an integer number (4866225).

Almost surely, 2^457624440 is an apocalyptic number.

457624440 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 457624440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934315200).

457624440 is an abundant number, since it is smaller than the sum of its proper divisors (1411005960).

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

457624440 is a wasteful number, since it uses less digits than its factorization.

457624440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 457624440 is about 21392.1583763771. The cubic root of 457624440 is about 770.6131283407.

The spelling of 457624440 in words is "four hundred fifty-seven million, six hundred twenty-four thousand, four hundred forty".