402400000 has 108 divisors (see below), whose sum is σ = 1005966864. Its totient is φ = 160640000.

The previous prime is 402399997. The next prime is 402400039. The reversal of 402400000 is 4204.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 402400000.

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 11 ways as a sum of consecutive naturals, for example, 799749 + ... + 800251.

It is an arithmetic number, because the mean of its divisors is an integer number (9314508).

Almost surely, 2^402400000 is an apocalyptic number.

402400000 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 402400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502983432).

402400000 is an abundant number, since it is smaller than the sum of its proper divisors (603566864).

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

402400000 is an frugal number, since it uses more digits than its factorization.

402400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 402400000 is about 20059.9102689917. The cubic root of 402400000 is about 738.2769748873.

Adding to 402400000 its reverse (4204), we get a palindrome (402404204).

The spelling of 402400000 in words is "four hundred two million, four hundred thousand".