400951980 has 288 divisors, whose sum is σ = 1470950208. Its totient is φ = 87091200.

The previous prime is 400951979. The next prime is 400952039. The reversal of 400951980 is 89159004.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 952170 + ... + 952590.

It is an arithmetic number, because the mean of its divisors is an integer number (5107466).

Almost surely, 2^400951980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400951980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735475104).

400951980 is an abundant number, since it is smaller than the sum of its proper divisors (1069998228).

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

400951980 is a wasteful number, since it uses less digits than its factorization.

400951980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 400951980 is about 20023.7853564205. The cubic root of 400951980 is about 737.3903573479.

It can be divided in two parts, 40095 and 1980, that multiplied together give a square (79388100 = 8910²).

The spelling of 400951980 in words is "four hundred million, nine hundred fifty-one thousand, nine hundred eighty".