402133368 has 128 divisors (see below), whose sum is σ = 1310238720. Its totient is φ = 99809280.

The previous prime is 402133339. The next prime is 402133387. The reversal of 402133368 is 863331204.

It is a super-2 number, since 2×402133368² = 323422491318046848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31713 + ... + 42543.

It is an arithmetic number, because the mean of its divisors is an integer number (10236240).

Almost surely, 2^402133368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402133368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655119360).

402133368 is an abundant number, since it is smaller than the sum of its proper divisors (908105352).

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

402133368 is a wasteful number, since it uses less digits than its factorization.

402133368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10877 (or 10873 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 402133368 is about 20053.2632755868. The cubic root of 402133368 is about 738.1138770080.

The spelling of 402133368 in words is "four hundred two million, one hundred thirty-three thousand, three hundred sixty-eight".