400807680 has 576 divisors, whose sum is σ = 1670258688. Its totient is φ = 79626240.

The previous prime is 400807663. The next prime is 400807697. The reversal of 400807680 is 86708004.

It is an interprime number because it is at equal distance from previous prime (400807663) and next prime (400807697).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10832622 + ... + 10832658.

Almost surely, 2^400807680 is an apocalyptic number.

400807680 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 400807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835129344).

400807680 is an abundant number, since it is smaller than the sum of its proper divisors (1269451008).

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

400807680 is a wasteful number, since it uses less digits than its factorization.

400807680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 400807680 is about 20020.1818173562. The cubic root of 400807680 is about 737.3018860751.

The spelling of 400807680 in words is "four hundred million, eight hundred seven thousand, six hundred eighty".