402607872 has 216 divisors, whose sum is σ = 1296182160. Its totient is φ = 119439360.

The previous prime is 402607859. The next prime is 402607873. The reversal of 402607872 is 278706204.

402607872 is a `hidden beast` number, since 40 + 2 + 607 + 8 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402607873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 743922 + ... + 744462.

Almost surely, 2^402607872 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 402607872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648091080).

402607872 is an abundant number, since it is smaller than the sum of its proper divisors (893574288).

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

402607872 is a wasteful number, since it uses less digits than its factorization.

402607872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 402607872 is about 20065.0908794354. The cubic root of 402607872 is about 738.4040795037.

The spelling of 402607872 in words is "four hundred two million, six hundred seven thousand, eight hundred seventy-two".