413046648 has 128 divisors (see below), whose sum is σ = 1341964800. Its totient is φ = 115250688.

The previous prime is 413046631. The next prime is 413046653. The reversal of 413046648 is 846640314.

413046648 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 4 + 6 + 648 = 666.

It is a super-4 number, since 4×413046648⁴ (a number of 36 digits) contains 4444 as substring.

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 31 ways as a sum of consecutive naturals, for example, 61840 + ... + 68192.

It is an arithmetic number, because the mean of its divisors is an integer number (10484100).

Almost surely, 2^413046648 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 413046648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670982400).

413046648 is an abundant number, since it is smaller than the sum of its proper divisors (928918152).

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

413046648 is a wasteful number, since it uses less digits than its factorization.

413046648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6418 (or 6408 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 413046648 is about 20323.5490995052. The cubic root of 413046648 is about 744.7314606525.

The spelling of 413046648 in words is "four hundred thirteen million, forty-six thousand, six hundred forty-eight".