402333360 has 320 divisors, whose sum is σ = 1544901120. Its totient is φ = 85155840.

The previous prime is 402333329. The next prime is 402333367. The reversal of 402333360 is 63333204.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 402333360.

It is not an unprimeable number, because it can be changed into a prime (402333367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 651772 + ... + 652388.

It is an arithmetic number, because the mean of its divisors is an integer number (4827816).

Almost surely, 2^402333360 is an apocalyptic number.

402333360 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 402333360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772450560).

402333360 is an abundant number, since it is smaller than the sum of its proper divisors (1142567760).

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

402333360 is a wasteful number, since it uses less digits than its factorization.

402333360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

The square root of 402333360 is about 20058.2491758379. The cubic root of 402333360 is about 738.2362181827.

Adding to 402333360 its reverse (63333204), we get a palindrome (465666564).

The spelling of 402333360 in words is "four hundred two million, three hundred thirty-three thousand, three hundred sixty".