457890408976 has 315 divisors, whose sum is σ = 1228882624473. Its totient is φ = 164675871360.

The previous prime is 457890408961. The next prime is 457890409007. The reversal of 457890408976 is 679804098754.

The square root of 457890408976 is 676676.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 392853168400 + 65037240576 = 626780^2 + 255024^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 35222339146 + ... + 35222339158.

Almost surely, 2^457890408976 is an apocalyptic number.

457890408976 is the 676676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457890408976

457890408976 is an abundant number, since it is smaller than the sum of its proper divisors (770992215497).

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

457890408976 is an frugal number, since it uses more digits than its factorization.

457890408976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 67.

The spelling of 457890408976 in words is "four hundred fifty-seven billion, eight hundred ninety million, four hundred eight thousand, nine hundred seventy-six".