464576625 has 48 divisors (see below), whose sum is σ = 860188368. Its totient is φ = 241056000.

The previous prime is 464576597. The next prime is 464576627. The reversal of 464576625 is 526675464.

It can be written as a sum of positive squares in 8 ways, for example, as 191434896 + 273141729 = 13836^2 + 16527^2 .

It is not a de Polignac number, because 464576625 - 2²⁰ = 463528049 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 (464576627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36045 + ... + 47205.

It is an arithmetic number, because the mean of its divisors is an integer number (17920591).

Almost surely, 2^464576625 is an apocalyptic number.

464576625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

464576625 is a deficient number, since it is larger than the sum of its proper divisors (395611743).

464576625 is a wasteful number, since it uses less digits than its factorization.

464576625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11219 (or 11206 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 464576625 is about 21554.0396445771. The cubic root of 464576625 is about 774.4958913833.

The spelling of 464576625 in words is "four hundred sixty-four million, five hundred seventy-six thousand, six hundred twenty-five".