400097160 has 96 divisors (see below), whose sum is σ = 1342298880. Its totient is φ = 103248000.

The previous prime is 400097143. The next prime is 400097171. The reversal of 400097160 is 61790004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6766 + ... + 29085.

It is an arithmetic number, because the mean of its divisors is an integer number (13982280).

Almost surely, 2^400097160 is an apocalyptic number.

400097160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400097160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671149440).

400097160 is an abundant number, since it is smaller than the sum of its proper divisors (942201720).

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

400097160 is a wasteful number, since it uses less digits than its factorization.

400097160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35899 (or 35892 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 400097160 is about 20002.4288525169. The cubic root of 400097160 is about 736.8659516486.

The spelling of 400097160 in words is "four hundred million, ninety-seven thousand, one hundred sixty".