402367560 has 256 divisors, whose sum is σ = 1538611200. Its totient is φ = 81948672.

The previous prime is 402367549. The next prime is 402367583. The reversal of 402367560 is 65763204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 270579 + ... + 272061.

It is an arithmetic number, because the mean of its divisors is an integer number (6010200).

Almost surely, 2^402367560 is an apocalyptic number.

402367560 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 402367560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769305600).

402367560 is an abundant number, since it is smaller than the sum of its proper divisors (1136243640).

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

402367560 is a wasteful number, since it uses less digits than its factorization.

402367560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 402367560 is about 20059.1016748009. The cubic root of 402367560 is about 738.2571353009.

The spelling of 402367560 in words is "four hundred two million, three hundred sixty-seven thousand, five hundred sixty".