456577247025 has 81 divisors (see below), whose sum is σ = 827460270273. Its totient is φ = 240659092800.

The previous prime is 456577246981. The next prime is 456577247039. The reversal of 456577247025 is 520742775654.

The square root of 456577247025 is 675705.

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

456577247025 is a `hidden beast` number, since 4 + 5 + 6 + 577 + 2 + 47 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 261481890609 + 195095356416 = 511353^2 + 441696^2 .

It is not a de Polignac number, because 456577247025 - 2¹³ = 456577238833 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1084506315 + ... + 1084506735.

Almost surely, 2^456577247025 is an apocalyptic number.

456577247025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

456577247025 is the 675705-th square number.

456577247025 is the 337853-rd centered octagonal number.

It is an amenable number.

456577247025 is a deficient number, since it is larger than the sum of its proper divisors (370883023248).

456577247025 is an equidigital number, since it uses as much as digits as its factorization.

456577247025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 16464000, while the sum is 54.

The spelling of 456577247025 in words is "four hundred fifty-six billion, five hundred seventy-seven million, two hundred forty-seven thousand, twenty-five".