402505740 has 192 divisors, whose sum is σ = 1541406720. Its totient is φ = 84913920.

The previous prime is 402505687. The next prime is 402505781. The reversal of 402505740 is 47505204.

402505740 is a `hidden beast` number, since 40 + 2 + 50 + 574 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45045 + ... + 53235.

It is an arithmetic number, because the mean of its divisors is an integer number (8028160).

Almost surely, 2^402505740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402505740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770703360).

402505740 is an abundant number, since it is smaller than the sum of its proper divisors (1138900980).

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

402505740 is a wasteful number, since it uses less digits than its factorization.

402505740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8229 (or 8221 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 402505740 is about 20062.5457008825. The cubic root of 402505740 is about 738.3416357310.

The spelling of 402505740 in words is "four hundred two million, five hundred five thousand, seven hundred forty".