415632 has 40 divisors (see below), whose sum is σ = 1228096. Its totient is φ = 118656.

The previous prime is 415631. The next prime is 415643. The reversal of 415632 is 236514.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 415599 and 415608.

It is not an unprimeable number, because it can be changed into a prime (415631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 283 + ... + 954.

2⁴¹⁵⁶³² is an apocalyptic number.

415632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

415632 is an abundant number, since it is smaller than the sum of its proper divisors (812464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

415632 is a wasteful number, since it uses less digits than its factorization.

415632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1249 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 415632 is about 644.6952768557. The cubic root of 415632 is about 74.6282043971.

The spelling of 415632 in words is "four hundred fifteen thousand, six hundred thirty-two".