462457121764 has 27 divisors (see below), whose sum is σ = 889589895523. Its totient is φ = 210200982200.

The previous prime is 462457121723. The next prime is 462457121771. The reversal of 462457121764 is 467121754264.

The square root of 462457121764 is 680042.

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

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 14945469 + ... + 14976379.

Almost surely, 2^462457121764 is an apocalyptic number.

462457121764 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

462457121764 is the 680042-nd square number.

It is an amenable number.

462457121764 is a deficient number, since it is larger than the sum of its proper divisors (427132773759).

462457121764 is an frugal number, since it uses more digits than its factorization.

462457121764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61848 (or 30924 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 49.

Multiplying 462457121764 by its sum of digits (49), we get a square (22660398966436 = 4760294²).

The spelling of 462457121764 in words is "four hundred sixty-two billion, four hundred fifty-seven million, one hundred twenty-one thousand, seven hundred sixty-four".