400800960 has 420 divisors, whose sum is σ = 1664799312. Its totient is φ = 89662464.

The previous prime is 400800947. The next prime is 400800971. The reversal of 400800960 is 69008004.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8527657 + ... + 8527703.

Almost surely, 2^400800960 is an apocalyptic number.

400800960 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 400800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832399656).

400800960 is an abundant number, since it is smaller than the sum of its proper divisors (1263998352).

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

400800960 is an equidigital number, since it uses as much as digits as its factorization.

400800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 400800960 is about 20020.0139860091. The cubic root of 400800960 is about 737.2977654818.

Adding to 400800960 its reverse (69008004), we get a palindrome (469808964).

The spelling of 400800960 in words is "four hundred million, eight hundred thousand, nine hundred sixty".