402268224 has 56 divisors (see below), whose sum is σ = 1072062880. Its totient is φ = 133115904.

The previous prime is 402268213. The next prime is 402268241. The reversal of 402268224 is 422862204.

It is a super-2 number, since 2×402268224² = 323639448080228352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 402268191 and 402268200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19152 + ... + 34224.

It is an arithmetic number, because the mean of its divisors is an integer number (19143980).

Almost surely, 2^402268224 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 402268224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536031440).

402268224 is an abundant number, since it is smaller than the sum of its proper divisors (669794656).

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

402268224 is a wasteful number, since it uses less digits than its factorization.

402268224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15227 (or 15217 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 402268224 is about 20056.6254389915. The cubic root of 402268224 is about 738.1963769679.

The spelling of 402268224 in words is "four hundred two million, two hundred sixty-eight thousand, two hundred twenty-four".