463938076900 has 27 divisors (see below), whose sum is σ = 1006760407611. Its totient is φ = 185572506240.

The previous prime is 463938076883. The next prime is 463938076933. The reversal of 463938076900 is 9670839364.

The square root of 463938076900 is 681130.

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

It can be written as a sum of positive squares in 4 ways, for example, as 61586363556 + 402351713344 = 248166^2 + 634312^2 .

It is a super-2 number, since 2×463938076900² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6777244 + ... + 6845356.

Almost surely, 2^463938076900 is an apocalyptic number.

463938076900 is the 681130-th square number.

It is an amenable number.

463938076900 is an abundant number, since it is smaller than the sum of its proper divisors (542822330711).

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

463938076900 is an frugal number, since it uses more digits than its factorization.

463938076900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136240 (or 68120 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 55.

The spelling of 463938076900 in words is "four hundred sixty-three billion, nine hundred thirty-eight million, seventy-six thousand, nine hundred".