400675 has 24 divisors (see below), whose sum is σ = 571392. Its totient is φ = 276000.

The previous prime is 400657. The next prime is 400679. The reversal of 400675 is 576004.

It is not a de Polignac number, because 400675 - 2⁵ = 400643 is a prime.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

400675 is a modest number, since divided by 675 gives 400 as remainder.

It is not an unprimeable number, because it can be changed into a prime (400679) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8502 + ... + 8548.

It is an arithmetic number, because the mean of its divisors is an integer number (23808).

2⁴⁰⁰⁶⁷⁵ is an apocalyptic number.

400675 is the 517-th pentagonal number.

400675 is a deficient number, since it is larger than the sum of its proper divisors (170717).

400675 is a wasteful number, since it uses less digits than its factorization.

400675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 400675 is about 632.9889414516. The cubic root of 400675 is about 73.7220520360.

Adding to 400675 its reverse (576004), we get a palindrome (976679).

The spelling of 400675 in words is "four hundred thousand, six hundred seventy-five".