400972 has 24 divisors (see below), whose sum is σ = 825552. Its totient is φ = 168000.

The previous prime is 400963. The next prime is 400997. The reversal of 400972 is 279004.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222 + ... + 922.

It is an arithmetic number, because the mean of its divisors is an integer number (34398).

2⁴⁰⁰⁹⁷² is an apocalyptic number.

It is an amenable number.

400972 is an abundant number, since it is smaller than the sum of its proper divisors (424580).

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

400972 is a wasteful number, since it uses less digits than its factorization.

400972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 400972 is about 633.2234992481. The cubic root of 400972 is about 73.7402630064.

Adding to 400972 its reverse (279004), we get a palindrome (679976).

The spelling of 400972 in words is "four hundred thousand, nine hundred seventy-two".