457277023728 has 320 divisors, whose sum is σ = 1553769600000. Its totient is φ = 125984388096.

The previous prime is 457277023681. The next prime is 457277023739. The reversal of 457277023728 is 827320772754.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79537398 + ... + 79543146.

It is an arithmetic number, because the mean of its divisors is an integer number (4855530000).

Almost surely, 2^457277023728 is an apocalyptic number.

457277023728 is a gapful number since it is divisible by the number (48) 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 457277023728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776884800000).

457277023728 is an abundant number, since it is smaller than the sum of its proper divisors (1096492576272).

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

457277023728 is a wasteful number, since it uses less digits than its factorization.

457277023728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6709 (or 6697 counting only the distinct ones).

The product of its (nonzero) digits is 9219840, while the sum is 54.

The spelling of 457277023728 in words is "four hundred fifty-seven billion, two hundred seventy-seven million, twenty-three thousand, seven hundred twenty-eight".