400788 has 30 divisors (see below), whose sum is σ = 1048586. Its totient is φ = 133488.

The previous prime is 400759. The next prime is 400823. The reversal of 400788 is 887004.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 374544 + 26244 = 612^2 + 162^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

400788 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 295 + ... + 942.

2⁴⁰⁰⁷⁸⁸ is an apocalyptic number.

It is an amenable number.

400788 is an abundant number, since it is smaller than the sum of its proper divisors (647798).

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

400788 is a wasteful number, since it uses less digits than its factorization.

400788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 400788 is about 633.0781942225. The cubic root of 400788 is about 73.7289818493.

It can be divided in two parts, 4007 and 88, that added together give a triangular number (4095 = T₉₀).

The spelling of 400788 in words is "four hundred thousand, seven hundred eighty-eight".