402485760 has 240 divisors, whose sum is σ = 1447782336. Its totient is φ = 107163648.

The previous prime is 402485737. The next prime is 402485767. The reversal of 402485760 is 67584204.

402485760 is a `hidden beast` number, since 40 + 2 + 48 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (402485767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 621757 + ... + 622403.

Almost surely, 2^402485760 is an apocalyptic number.

402485760 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 402485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723891168).

402485760 is an abundant number, since it is smaller than the sum of its proper divisors (1045296576).

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

402485760 is an frugal number, since it uses more digits than its factorization.

402485760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 402485760 is about 20062.0477519121. The cubic root of 402485760 is about 738.3294186713.

The spelling of 402485760 in words is "four hundred two million, four hundred eighty-five thousand, seven hundred sixty".