400495680 has 336 divisors, whose sum is σ = 1564355520. Its totient is φ = 93229056.

The previous prime is 400495633. The next prime is 400495709. The reversal of 400495680 is 86594004.

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 47 ways as a sum of consecutive naturals, for example, 711079 + ... + 711641.

It is an arithmetic number, because the mean of its divisors is an integer number (4655820).

Almost surely, 2^400495680 is an apocalyptic number.

400495680 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 400495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782177760).

400495680 is an abundant number, since it is smaller than the sum of its proper divisors (1163859840).

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

400495680 is a wasteful number, since it uses less digits than its factorization.

400495680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 400495680 is about 20012.3881633352. The cubic root of 400495680 is about 737.1105242199.

The spelling of 400495680 in words is "four hundred million, four hundred ninety-five thousand, six hundred eighty".