402016560 has 320 divisors, whose sum is σ = 1446336000. Its totient is φ = 91463680.

The previous prime is 402016553. The next prime is 402016567. The reversal of 402016560 is 65610204.

It is an interprime number because it is at equal distance from previous prime (402016553) and next prime (402016567).

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 402016560.

It is not an unprimeable number, because it can be changed into a prime (402016567) 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, 4516996 + ... + 4517084.

It is an arithmetic number, because the mean of its divisors is an integer number (4519800).

Almost surely, 2^402016560 is an apocalyptic number.

402016560 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 402016560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723168000).

402016560 is an abundant number, since it is smaller than the sum of its proper divisors (1044319440).

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

402016560 is a wasteful number, since it uses less digits than its factorization.

402016560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 402016560 is about 20050.3506203757. The cubic root of 402016560 is about 738.0424032451.

Adding to 402016560 its reverse (65610204), we get a palindrome (467626764).

The spelling of 402016560 in words is "four hundred two million, sixteen thousand, five hundred sixty".