400880 has 20 divisors (see below), whose sum is σ = 932232. Its totient is φ = 160320.

The previous prime is 400871. The next prime is 400903. The reversal of 400880 is 88004.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 2426 + ... + 2585.

2⁴⁰⁰⁸⁸⁰ is an apocalyptic number.

400880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400880 is an abundant number, since it is smaller than the sum of its proper divisors (531352).

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

400880 is a wasteful number, since it uses less digits than its factorization.

400880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5024 (or 5018 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 400880 is about 633.1508509036. The cubic root of 400880 is about 73.7346228593.

Adding to 400880 its reverse (88004), we get a palindrome (488884).

The spelling of 400880 in words is "four hundred thousand, eight hundred eighty".