457590872700 has 432 divisors, whose sum is σ = 1608867338400. Its totient is φ = 111511296000.

The previous prime is 457590872663. The next prime is 457590872701. The reversal of 457590872700 is 7278095754.

It is a happy number.

457590872700 is a `hidden beast` number, since 45 + 7 + 590 + 8 + 7 + 2 + 7 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457590872701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46081336 + ... + 46091264.

It is an arithmetic number, because the mean of its divisors is an integer number (3724229950).

Almost surely, 2^457590872700 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 457590872700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804433669200).

457590872700 is an abundant number, since it is smaller than the sum of its proper divisors (1151276465700).

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

457590872700 is a wasteful number, since it uses less digits than its factorization.

457590872700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10079 (or 10053 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 457590872700 in words is "four hundred fifty-seven billion, five hundred ninety million, eight hundred seventy-two thousand, seven hundred".