464271890625 has 189 divisors, whose sum is σ = 887521237239. Its totient is φ = 233847900000.

The previous prime is 464271890591. The next prime is 464271890639. The reversal of 464271890625 is 526098172464.

The square root of 464271890625 is 681375.

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

464271890625 is a `hidden beast` number, since 4 + 6 + 4 + 2 + 7 + 1 + 8 + 9 + 0 + 625 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 406746746289 + 57525144336 = 637767^2 + 239844^2 .

It is not a de Polignac number, because 464271890625 - 2⁷ = 464271890497 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 5876859336 + ... + 5876859414.

Almost surely, 2^464271890625 is an apocalyptic number.

464271890625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

464271890625 is the 681375-th square number.

464271890625 is the 340688-th centered octagonal number.

It is an amenable number.

464271890625 is a deficient number, since it is larger than the sum of its proper divisors (423249346614).

464271890625 is an frugal number, since it uses more digits than its factorization.

464271890625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

It can be divided in two parts, 464271 and 890625, that added together give a square (1354896 = 1164²).

The spelling of 464271890625 in words is "four hundred sixty-four billion, two hundred seventy-one million, eight hundred ninety thousand, six hundred twenty-five".