400859680 has 72 divisors (see below), whose sum is σ = 1022208012. Its totient is φ = 147672576.

The previous prime is 400859659. The next prime is 400859689. The reversal of 400859680 is 86958004.

It can be written as a sum of positive squares in 2 ways, for example, as 373107856 + 27751824 = 19316^2 + 5268^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (400859689) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 912901 + ... + 913339.

Almost surely, 2^400859680 is an apocalyptic number.

400859680 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 400859680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511104006).

400859680 is an abundant number, since it is smaller than the sum of its proper divisors (621348332).

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

400859680 is an equidigital number, since it uses as much as digits as its factorization.

400859680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 400859680 is about 20021.4804647409. The cubic root of 400859680 is about 737.3337700617. Note that the first 3 decimals are identical.

The spelling of 400859680 in words is "four hundred million, eight hundred fifty-nine thousand, six hundred eighty".