400086720 has 336 divisors, whose sum is σ = 1530595872. Its totient is φ = 95109120.

The previous prime is 400086683. The next prime is 400086727. The reversal of 400086720 is 27680004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400086727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2312554 + ... + 2312726.

Almost surely, 2^400086720 is an apocalyptic number.

400086720 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 400086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765297936).

400086720 is an abundant number, since it is smaller than the sum of its proper divisors (1130509152).

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

400086720 is a wasteful number, since it uses less digits than its factorization.

400086720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 400086720 is about 20002.1678825071. The cubic root of 400086720 is about 736.8595424159.

The spelling of 400086720 in words is "four hundred million, eighty-six thousand, seven hundred twenty".