400660000 has 240 divisors, whose sum is σ = 1124190144. Its totient is φ = 139392000.

The previous prime is 400659997. The next prime is 400660021. The reversal of 400660000 is 66004.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5979967 + ... + 5980033.

Almost surely, 2^400660000 is an apocalyptic number.

400660000 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 400660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562095072).

400660000 is an abundant number, since it is smaller than the sum of its proper divisors (723530144).

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

400660000 is a wasteful number, since it uses less digits than its factorization.

400660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 400660000 is about 20016.4931993594. The cubic root of 400660000 is about 737.2113205131.

The spelling of 400660000 in words is "four hundred million, six hundred sixty thousand".