402667200 has 420 divisors, whose sum is σ = 1600626720. Its totient is φ = 98703360.

The previous prime is 402667183. The next prime is 402667201. The reversal of 402667200 is 2766204.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (402667201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1684681 + ... + 1684919.

It is an arithmetic number, because the mean of its divisors is an integer number (3811016).

Almost surely, 2^402667200 is an apocalyptic number.

402667200 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 402667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800313360).

402667200 is an abundant number, since it is smaller than the sum of its proper divisors (1197959520).

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

402667200 is a wasteful number, since it uses less digits than its factorization.

402667200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 402667200 is about 20066.5692134954. The cubic root of 402667200 is about 738.4403479496.

The spelling of 402667200 in words is "four hundred two million, six hundred sixty-seven thousand, two hundred".