407625 has 16 divisors (see below), whose sum is σ = 678912. Its totient is φ = 217200.

The previous prime is 407621. The next prime is 407633. The reversal of 407625 is 526704.

It is a happy number.

It is not a de Polignac number, because 407625 - 2² = 407621 is a prime.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 407595 and 407604.

It is not an unprimeable number, because it can be changed into a prime (407621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169 + ... + 918.

It is an arithmetic number, because the mean of its divisors is an integer number (42432).

2⁴⁰⁷⁶²⁵ is an apocalyptic number.

It is an amenable number.

407625 is a deficient number, since it is larger than the sum of its proper divisors (271287).

407625 is a wasteful number, since it uses less digits than its factorization.

407625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 407625 is about 638.4551667893. The cubic root of 407625 is about 74.1458651984.

The spelling of 407625 in words is "four hundred seven thousand, six hundred twenty-five".