400375168 has 128 divisors (see below), whose sum is σ = 888330240. Its totient is φ = 179097600.

The previous prime is 400375153. The next prime is 400375181. The reversal of 400375168 is 861573004.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3741771 + ... + 3741877.

It is an arithmetic number, because the mean of its divisors is an integer number (6940080).

Almost surely, 2^400375168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400375168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444165120).

400375168 is an abundant number, since it is smaller than the sum of its proper divisors (487955072).

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

400375168 is a wasteful number, since it uses less digits than its factorization.

400375168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 400375168 is about 20009.3770017959. The cubic root of 400375168 is about 737.0365828689.

The spelling of 400375168 in words is "four hundred million, three hundred seventy-five thousand, one hundred sixty-eight".