413248512 has 176 divisors, whose sum is σ = 1200884832. Its totient is φ = 125829120.

The previous prime is 413248501. The next prime is 413248559. The reversal of 413248512 is 215842314.

Its product of digits (7680) is a multiple of the sum of its prime divisors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 413248512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2141088 + ... + 2141280.

Almost surely, 2^413248512 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 413248512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600442416).

413248512 is an abundant number, since it is smaller than the sum of its proper divisors (787636320).

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

413248512 is a wasteful number, since it uses less digits than its factorization.

413248512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 256 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 413248512 is about 20328.5147514520. The cubic root of 413248512 is about 744.8527625187.

The spelling of 413248512 in words is "four hundred thirteen million, two hundred forty-eight thousand, five hundred twelve".