400371120 has 160 divisors (see below), whose sum is σ = 1439193600. Its totient is φ = 102110976.

The previous prime is 400371119. The next prime is 400371149. The reversal of 400371120 is 21173004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 400371093 and 400371102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45651 + ... + 53709.

It is an arithmetic number, because the mean of its divisors is an integer number (8994960).

Almost surely, 2^400371120 is an apocalyptic number.

400371120 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 400371120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719596800).

400371120 is an abundant number, since it is smaller than the sum of its proper divisors (1038822480).

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

400371120 is a wasteful number, since it uses less digits than its factorization.

400371120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8104 (or 8092 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 400371120 is about 20009.2758489656. The cubic root of 400371120 is about 737.0340989202.

The spelling of 400371120 in words is "four hundred million, three hundred seventy-one thousand, one hundred twenty".