400975 has 12 divisors (see below), whose sum is σ = 510136. Its totient is φ = 312480.

The previous prime is 400963. The next prime is 400997. The reversal of 400975 is 579004.

400975 = T₅ + T₆ + ... + T₁₃₃.

It is not a de Polignac number, because 400975 - 2⁵ = 400943 is a prime.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 889 + ... + 1261.

2⁴⁰⁰⁹⁷⁵ is an apocalyptic number.

400975 is a deficient number, since it is larger than the sum of its proper divisors (109161).

400975 is a wasteful number, since it uses less digits than its factorization.

400975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 400975 is about 633.2258680755. The cubic root of 400975 is about 73.7404469097.

Adding to 400975 its reverse (579004), we get a palindrome (979979).

The spelling of 400975 in words is "four hundred thousand, nine hundred seventy-five".