407988 has 36 divisors (see below), whose sum is σ = 1179360. Its totient is φ = 116496.

The previous prime is 407977. The next prime is 407993. The reversal of 407988 is 889704.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 558 + ... + 1061.

It is an arithmetic number, because the mean of its divisors is an integer number (32760).

2⁴⁰⁷⁹⁸⁸ is an apocalyptic number.

It is an amenable number.

407988 is an abundant number, since it is smaller than the sum of its proper divisors (771372).

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

407988 is a wasteful number, since it uses less digits than its factorization.

407988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 407988 is about 638.7393834734. The cubic root of 407988 is about 74.1678682351.

The spelling of 407988 in words is "four hundred seven thousand, nine hundred eighty-eight".