400944480 has 96 divisors (see below), whose sum is σ = 1266015744. Its totient is φ = 106661376.

The previous prime is 400944457. The next prime is 400944491. The reversal of 400944480 is 84449004.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 281049 + ... + 282471.

It is an arithmetic number, because the mean of its divisors is an integer number (13187664).

Almost surely, 2^400944480 is an apocalyptic number.

400944480 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 400944480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633007872).

400944480 is an abundant number, since it is smaller than the sum of its proper divisors (865071264).

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

400944480 is a wasteful number, since it uses less digits than its factorization.

400944480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 400944480 is about 20023.5980782676. The cubic root of 400944480 is about 737.3857595719.

The spelling of 400944480 in words is "four hundred million, nine hundred forty-four thousand, four hundred eighty".