402298400 has 216 divisors, whose sum is σ = 1190548800. Its totient is φ = 130014720.

The previous prime is 402298397. The next prime is 402298409. The reversal of 402298400 is 4892204.

It is not an unprimeable number, because it can be changed into a prime (402298409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2021501 + ... + 2021699.

It is an arithmetic number, because the mean of its divisors is an integer number (5511800).

Almost surely, 2^402298400 is an apocalyptic number.

402298400 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 402298400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595274400).

402298400 is an abundant number, since it is smaller than the sum of its proper divisors (788250400).

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

402298400 is a wasteful number, since it uses less digits than its factorization.

402298400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 402298400 is about 20057.3776950029. The cubic root of 402298400 is about 738.2148350145.

The spelling of 402298400 in words is "four hundred two million, two hundred ninety-eight thousand, four hundred".