402408000 has 448 divisors, whose sum is σ = 1559600640. Its totient is φ = 102643200.

The previous prime is 402407983. The next prime is 402408001. The reversal of 402408000 is 804204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (402408001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 17495989 + ... + 17496011.

Almost surely, 2^402408000 is an apocalyptic number.

402408000 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 402408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779800320).

402408000 is an abundant number, since it is smaller than the sum of its proper divisors (1157192640).

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

402408000 is an frugal number, since it uses more digits than its factorization.

402408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 402408000 is about 20060.1096706872. The cubic root of 402408000 is about 738.2818673464.

The spelling of 402408000 in words is "four hundred two million, four hundred eight thousand".