407532 has 12 divisors (see below), whose sum is σ = 950936. Its totient is φ = 135840.

The previous prime is 407527. The next prime is 407567. The reversal of 407532 is 235704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 407499 and 407508.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 407532.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16969 + ... + 16992.

2⁴⁰⁷⁵³² is an apocalyptic number.

It is an amenable number.

407532 is an abundant number, since it is smaller than the sum of its proper divisors (543404).

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

407532 is a wasteful number, since it uses less digits than its factorization.

407532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33968 (or 33966 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 407532 is about 638.3823305825. The cubic root of 407532 is about 74.1402259548.

It can be divided in two parts, 40753 and 2, that added together give a triangular number (40755 = T₂₈₅).

The spelling of 407532 in words is "four hundred seven thousand, five hundred thirty-two".