400435164 has 60 divisors (see below), whose sum is σ = 1075141144. Its totient is φ = 129866976.

The previous prime is 400435157. The next prime is 400435181. The reversal of 400435164 is 461534004.

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.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4714 + ... + 28689.

Almost surely, 2^400435164 is an apocalyptic number.

It is an amenable number.

400435164 is an abundant number, since it is smaller than the sum of its proper divisors (674705980).

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

400435164 is a wasteful number, since it uses less digits than its factorization.

400435164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33456 (or 33445 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 400435164 is about 20010.8761427380. The cubic root of 400435164 is about 737.0733958731.

Adding to 400435164 its reverse (461534004), we get a palindrome (861969168).

The spelling of 400435164 in words is "four hundred million, four hundred thirty-five thousand, one hundred sixty-four".