400977680 has 60 divisors (see below), whose sum is σ = 952950540. Its totient is φ = 156909312.

The previous prime is 400977679. The next prime is 400977719. The reversal of 400977680 is 86779004.

It can be written as a sum of positive squares in 2 ways, for example, as 68425984 + 332551696 = 8272^2 + 18236^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175586 + ... + 177854.

It is an arithmetic number, because the mean of its divisors is an integer number (15882509).

Almost surely, 2^400977680 is an apocalyptic number.

400977680 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 400977680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476475270).

400977680 is an abundant number, since it is smaller than the sum of its proper divisors (551972860).

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

400977680 is a wasteful number, since it uses less digits than its factorization.

400977680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 400977680 is about 20024.4270829405. The cubic root of 400977680 is about 737.4061119588.

The spelling of 400977680 in words is "four hundred million, nine hundred seventy-seven thousand, six hundred eighty".