400868600 has 96 divisors (see below), whose sum is σ = 1022144400. Its totient is φ = 144998400.

The previous prime is 400868599. The next prime is 400868647. The reversal of 400868600 is 6868004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 565046 + ... + 565754.

Almost surely, 2^400868600 is an apocalyptic number.

400868600 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 400868600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511072200).

400868600 is an abundant number, since it is smaller than the sum of its proper divisors (621275800).

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

400868600 is a wasteful number, since it uses less digits than its factorization.

400868600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 400868600 is about 20021.7032242514. The cubic root of 400868600 is about 737.3392391147.

The spelling of 400868600 in words is "four hundred million, eight hundred sixty-eight thousand, six hundred".