400160320 has 56 divisors (see below), whose sum is σ = 1089013824. Its totient is φ = 137197056.

The previous prime is 400160317. The next prime is 400160323. The reversal of 400160320 is 23061004.

It is an interprime number because it is at equal distance from previous prime (400160317) and next prime (400160323).

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 400160294 and 400160303.

It is not an unprimeable number, because it can be changed into a prime (400160323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87082 + ... + 91561.

Almost surely, 2^400160320 is an apocalyptic number.

400160320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400160320 is an abundant number, since it is smaller than the sum of its proper divisors (688853504).

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

400160320 is a wasteful number, since it uses less digits than its factorization.

400160320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178667 (or 178657 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 400160320 is about 20004.0075984789. The cubic root of 400160320 is about 736.9047239014.

The spelling of 400160320 in words is "four hundred million, one hundred sixty thousand, three hundred twenty".