402303200 has 144 divisors (see below), whose sum is σ = 1070931456. Its totient is φ = 146688000.

The previous prime is 402303197. The next prime is 402303217. The reversal of 402303200 is 2303204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1050209 + ... + 1050591.

It is an arithmetic number, because the mean of its divisors is an integer number (7437024).

Almost surely, 2^402303200 is an apocalyptic number.

402303200 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 402303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535465728).

402303200 is an abundant number, since it is smaller than the sum of its proper divisors (668628256).

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

402303200 is a wasteful number, since it uses less digits than its factorization.

402303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 402303200 is about 20057.4973513647. The cubic root of 402303200 is about 738.2177709920.

Adding to 402303200 its reverse (2303204), we get a palindrome (404606404).

The spelling of 402303200 in words is "four hundred two million, three hundred three thousand, two hundred".