400682688 has 224 divisors, whose sum is σ = 1279672320. Its totient is φ = 108241920.

The previous prime is 400682671. The next prime is 400682693. The reversal of 400682688 is 886286004.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2458095 + ... + 2458257.

Almost surely, 2^400682688 is an apocalyptic number.

400682688 is a gapful number since it is divisible by the number (48) 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 400682688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639836160).

400682688 is an abundant number, since it is smaller than the sum of its proper divisors (878989632).

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

400682688 is a wasteful number, since it uses less digits than its factorization.

400682688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 400682688 is about 20017.0599239748. The cubic root of 400682688 is about 737.2252354990.

The spelling of 400682688 in words is "four hundred million, six hundred eighty-two thousand, six hundred eighty-eight".