400957 has 8 divisors (see below), whose sum is σ = 432000. Its totient is φ = 370944.

The previous prime is 400949. The next prime is 400963. The reversal of 400957 is 759004.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 400957 - 2³ = 400949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 400957.

It is not an unprimeable number, because it can be changed into a prime (400927) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 669 + ... + 1117.

It is an arithmetic number, because the mean of its divisors is an integer number (54000).

2⁴⁰⁰⁹⁵⁷ is an apocalyptic number.

400957 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

400957 is a deficient number, since it is larger than the sum of its proper divisors (31043).

400957 is a wasteful number, since it uses less digits than its factorization.

400957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515.

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

The square root of 400957 is about 633.2116549780. The cubic root of 400957 is about 73.7393434761.

The spelling of 400957 in words is "four hundred thousand, nine hundred fifty-seven".