400980240 has 160 divisors (see below), whose sum is σ = 1400624640. Its totient is φ = 105421824.

The previous prime is 400980149. The next prime is 400980259. The reversal of 400980240 is 42089004.

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 31 ways as a sum of consecutive naturals, for example, 156409 + ... + 158951.

It is an arithmetic number, because the mean of its divisors is an integer number (8753904).

Almost surely, 2^400980240 is an apocalyptic number.

400980240 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 400980240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700312320).

400980240 is an abundant number, since it is smaller than the sum of its proper divisors (999644400).

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

400980240 is a wasteful number, since it uses less digits than its factorization.

400980240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 400980240 is about 20024.4910047671. The cubic root of 400980240 is about 737.4076812528.

The spelling of 400980240 in words is "four hundred million, nine hundred eighty thousand, two hundred forty".