402552824760 has 160 divisors (see below), whose sum is σ = 1353980707200. Its totient is φ = 107271578880.

The previous prime is 402552824743. The next prime is 402552824771. The reversal of 402552824760 is 67428255204.

402552824760 is a `hidden beast` number, since 4 + 0 + 2 + 552 + 8 + 24 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4619190 + ... + 4705530.

It is an arithmetic number, because the mean of its divisors is an integer number (8462379420).

Almost surely, 2^402552824760 is an apocalyptic number.

402552824760 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 402552824760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676990353600).

402552824760 is an abundant number, since it is smaller than the sum of its proper divisors (951427882440).

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

402552824760 is a wasteful number, since it uses less digits than its factorization.

402552824760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87803 (or 87790 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 402552824760 in words is "four hundred two billion, five hundred fifty-two million, eight hundred twenty-four thousand, seven hundred sixty".