465509025 has 144 divisors (see below), whose sum is σ = 943342400. Its totient is φ = 226748160.

The previous prime is 465509021. The next prime is 465509053. The reversal of 465509025 is 520905564.

It is not a de Polignac number, because 465509025 - 2² = 465509021 is a prime.

It is not an unprimeable number, because it can be changed into a prime (465509021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4270671 + ... + 4270779.

Almost surely, 2^465509025 is an apocalyptic number.

465509025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

465509025 is an abundant number, since it is smaller than the sum of its proper divisors (477833375).

465509025 is a wasteful number, since it uses less digits than its factorization.

465509025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 465509025 is about 21575.6581591385. The cubic root of 465509025 is about 775.0136799528.

The spelling of 465509025 in words is "four hundred sixty-five million, five hundred nine thousand, twenty-five".