413725752 has 256 divisors, whose sum is σ = 1335398400. Its totient is φ = 117504000.

The previous prime is 413725727. The next prime is 413725757. The reversal of 413725752 is 257527314.

413725752 is a `hidden beast` number, since 4 + 13 + 72 + 575 + 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 (413725757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3019828 + ... + 3019964.

It is an arithmetic number, because the mean of its divisors is an integer number (5216400).

Almost surely, 2^413725752 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 413725752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667699200).

413725752 is an abundant number, since it is smaller than the sum of its proper divisors (921672648).

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

413725752 is a wasteful number, since it uses less digits than its factorization.

413725752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 225 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 413725752 is about 20340.2495559912. The cubic root of 413725752 is about 745.1393832569.

The spelling of 413725752 in words is "four hundred thirteen million, seven hundred twenty-five thousand, seven hundred fifty-two".