413652096 has 448 divisors, whose sum is σ = 1498371840. Its totient is φ = 111974400.

The previous prime is 413652077. The next prime is 413652101. The reversal of 413652096 is 690256314.

It is a happy number.

413652096 is a `hidden beast` number, since 41 + 3 + 6 + 520 + 96 = 666.

It is a super-2 number, since 2×413652096² = 342216113050386432, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 413652096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13343601 + ... + 13343631.

It is an arithmetic number, because the mean of its divisors is an integer number (3344580).

Almost surely, 2^413652096 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 413652096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749185920).

413652096 is an abundant number, since it is smaller than the sum of its proper divisors (1084719744).

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

413652096 is a wasteful number, since it uses less digits than its factorization.

413652096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 413652096 is about 20338.4388781440. The cubic root of 413652096 is about 745.0951613349.

The spelling of 413652096 in words is "four hundred thirteen million, six hundred fifty-two thousand, ninety-six".