457938302976 has 480 divisors, whose sum is σ = 1705390727040. Its totient is φ = 118941696000.

The previous prime is 457938302929. The next prime is 457938302989. The reversal of 457938302976 is 679203839754.

457938302976 is a `hidden beast` number, since 4 + 579 + 3 + 8 + 30 + 29 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12755451 + ... + 12791301.

It is an arithmetic number, because the mean of its divisors is an integer number (3552897348).

Almost surely, 2^457938302976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457938302976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852695363520).

457938302976 is an abundant number, since it is smaller than the sum of its proper divisors (1247452424064).

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

457938302976 is a wasteful number, since it uses less digits than its factorization.

457938302976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35903 (or 35874 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 457938302976 in words is "four hundred fifty-seven billion, nine hundred thirty-eight million, three hundred two thousand, nine hundred seventy-six".