402380800 has 144 divisors (see below), whose sum is σ = 1035871200. Its totient is φ = 154828800.

The previous prime is 402380789. The next prime is 402380801. The reversal of 402380800 is 8083204.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402380801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1484665 + ... + 1484935.

It is an arithmetic number, because the mean of its divisors is an integer number (7193550).

Almost surely, 2^402380800 is an apocalyptic number.

402380800 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 402380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517935600).

402380800 is an abundant number, since it is smaller than the sum of its proper divisors (633490400).

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

402380800 is a wasteful number, since it uses less digits than its factorization.

402380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 402380800 is about 20059.4316968353. The cubic root of 402380800 is about 738.2652327208.

The spelling of 402380800 in words is "four hundred two million, three hundred eighty thousand, eight hundred".