413064288 has 144 divisors (see below), whose sum is σ = 1445816736. Its totient is φ = 108933120.

The previous prime is 413064277. The next prime is 413064293. The reversal of 413064288 is 882460314.

413064288 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 642 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 18328 + ... + 34088.

It is an arithmetic number, because the mean of its divisors is an integer number (10040394).

Almost surely, 2^413064288 is an apocalyptic number.

413064288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413064288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722908368).

413064288 is an abundant number, since it is smaller than the sum of its proper divisors (1032752448).

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

413064288 is a wasteful number, since it uses less digits than its factorization.

413064288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15797 (or 15786 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 413064288 is about 20323.9830741909. The cubic root of 413064288 is about 744.7420622605.

The spelling of 413064288 in words is "four hundred thirteen million, sixty-four thousand, two hundred eighty-eight".