402838800 has 720 divisors, whose sum is σ = 1766886912. Its totient is φ = 77414400.

The previous prime is 402838789. The next prime is 402838801. The reversal of 402838800 is 8838204.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402838801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12994785 + ... + 12994815.

Almost surely, 2^402838800 is an apocalyptic number.

402838800 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 402838800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883443456).

402838800 is an abundant number, since it is smaller than the sum of its proper divisors (1364048112).

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

402838800 is a wasteful number, since it uses less digits than its factorization.

402838800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 402838800 is about 20070.8445263272. The cubic root of 402838800 is about 738.5452305653.

The spelling of 402838800 in words is "four hundred two million, eight hundred thirty-eight thousand, eight hundred".