415625 has 24 divisors (see below), whose sum is σ = 624960. Its totient is φ = 270000.

The previous prime is 415609. The next prime is 415627. The reversal of 415625 is 526514.

It is not a de Polignac number, because 415625 - 2⁴ = 415609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 415625.

It is not an unprimeable number, because it can be changed into a prime (415627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21866 + ... + 21884.

It is an arithmetic number, because the mean of its divisors is an integer number (26040).

2⁴¹⁵⁶²⁵ is an apocalyptic number.

It is an amenable number.

415625 is a deficient number, since it is larger than the sum of its proper divisors (209335).

415625 is an frugal number, since it uses more digits than its factorization.

415625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 31 counting only the distinct ones).

The product of its digits is 1200, while the sum is 23.

The square root of 415625 is about 644.6898479114. The cubic root of 415625 is about 74.6277854364.

Subtracting 415625 from its reverse (526514), we obtain a square (110889 = 333²).

It can be divided in two parts, 4 and 15625, that multiplied together give a square (62500 = 250²).

The spelling of 415625 in words is "four hundred fifteen thousand, six hundred twenty-five".