456090869025 has 81 divisors (see below), whose sum is σ = 898144668057. Its totient is φ = 221080939200.

The previous prime is 456090869011. The next prime is 456090869029. The reversal of 456090869025 is 520968090654.

It is a happy number.

The square root of 456090869025 is 675345.

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

456090869025 is a `hidden beast` number, since 4 + 5 + 609 + 0 + 8 + 6 + 9 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23274248481 + 432816620544 = 152559^2 + 657888^2 .

It is not a de Polignac number, because 456090869025 - 2⁵ = 456090868993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (456090869029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 111429879 + ... + 111433971.

Almost surely, 2^456090869025 is an apocalyptic number.

456090869025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

456090869025 is the 675345-th square number.

456090869025 is the 337673-rd centered octagonal number.

It is an amenable number.

456090869025 is a deficient number, since it is larger than the sum of its proper divisors (442053799032).

456090869025 is an equidigital number, since it uses as much as digits as its factorization.

456090869025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8224 (or 4112 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 456090869025 in words is "four hundred fifty-six billion, ninety million, eight hundred sixty-nine thousand, twenty-five".