402066560 has 96 divisors (see below), whose sum is σ = 1118206620. Its totient is φ = 137840640.

The previous prime is 402066503. The next prime is 402066563. The reversal of 402066560 is 65660204.

It can be written as a sum of positive squares in 2 ways, for example, as 356152384 + 45914176 = 18872^2 + 6776^2 .

It is not an unprimeable number, because it can be changed into a prime (402066563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24950 + ... + 37770.

Almost surely, 2^402066560 is an apocalyptic number.

402066560 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 402066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559103310).

402066560 is an abundant number, since it is smaller than the sum of its proper divisors (716140060).

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

402066560 is a wasteful number, since it uses less digits than its factorization.

402066560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12854 (or 12835 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 402066560 is about 20051.5974425979. The cubic root of 402066560 is about 738.0729994892.

The spelling of 402066560 in words is "four hundred two million, sixty-six thousand, five hundred sixty".