400851360 has 864 divisors, whose sum is σ = 1882258560. Its totient is φ = 76640256.

The previous prime is 400851343. The next prime is 400851389. The reversal of 400851360 is 63158004.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17428309 + ... + 17428331.

It is an arithmetic number, because the mean of its divisors is an integer number (2178540).

Almost surely, 2^400851360 is an apocalyptic number.

400851360 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 400851360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941129280).

400851360 is an abundant number, since it is smaller than the sum of its proper divisors (1481407200).

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

400851360 is a wasteful number, since it uses less digits than its factorization.

400851360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 400851360 is about 20021.2726868199. The cubic root of 400851360 is about 737.3286688092.

The spelling of 400851360 in words is "four hundred million, eight hundred fifty-one thousand, three hundred sixty".