462801287025 has 729 divisors, whose sum is σ = 1155861416619. Its totient is φ = 176332464000.

The previous prime is 462801286999. The next prime is 462801287027. The reversal of 462801287025 is 520782108264.

The square root of 462801287025 is 680295.

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

462801287025 is a `hidden beast` number, since 4 + 628 + 0 + 12 + 8 + 7 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 166608463329 + 296192823696 = 408177^2 + 544236^2 .

It is not a de Polignac number, because 462801287025 - 2²⁹ = 462264416113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (462801287027) by changing a digit.

It is a polite number, since it can be written in 728 ways as a sum of consecutive naturals, for example, 14929073760 + ... + 14929073790.

Almost surely, 2^462801287025 is an apocalyptic number.

462801287025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

462801287025 is the 680295-th square number.

462801287025 is the 340148-th centered octagonal number.

It is an amenable number.

462801287025 is an abundant number, since it is smaller than the sum of its proper divisors (693060129594).

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

462801287025 is a wasteful number, since it uses less digits than its factorization.

462801287025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 462801287025 in words is "four hundred sixty-two billion, eight hundred one million, two hundred eighty-seven thousand, twenty-five".