413785152 has 168 divisors, whose sum is σ = 1337767200. Its totient is φ = 125326080.

The previous prime is 413785139. The next prime is 413785187. The reversal of 413785152 is 251587314.

413785152 is a `hidden beast` number, since 4 + 137 + 8 + 515 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208099 + ... + 210077.

It is an arithmetic number, because the mean of its divisors is an integer number (7962900).

Almost surely, 2^413785152 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 413785152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668883600).

413785152 is an abundant number, since it is smaller than the sum of its proper divisors (923982048).

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

413785152 is a wasteful number, since it uses less digits than its factorization.

413785152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 1995 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 413785152 is about 20341.7096626611. The cubic root of 413785152 is about 745.1750422742.

The spelling of 413785152 in words is "four hundred thirteen million, seven hundred eighty-five thousand, one hundred fifty-two".