402516560 has 80 divisors (see below), whose sum is σ = 981258624. Its totient is φ = 153263616.

The previous prime is 402516533. The next prime is 402516581. The reversal of 402516560 is 65615204.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 520334 + ... + 521106.

Almost surely, 2^402516560 is an apocalyptic number.

402516560 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 402516560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490629312).

402516560 is an abundant number, since it is smaller than the sum of its proper divisors (578742064).

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

402516560 is a wasteful number, since it uses less digits than its factorization.

402516560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 402516560 is about 20062.8153557770. The cubic root of 402516560 is about 738.3482516076.

The spelling of 402516560 in words is "four hundred two million, five hundred sixteen thousand, five hundred sixty".