413331948 has 72 divisors (see below), whose sum is σ = 1127232288. Its totient is φ = 127216128.

The previous prime is 413331937. The next prime is 413331973. The reversal of 413331948 is 849133314.

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

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, 26065 + ... + 38807.

It is an arithmetic number, because the mean of its divisors is an integer number (15656004).

Almost surely, 2^413331948 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 413331948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563616144).

413331948 is an abundant number, since it is smaller than the sum of its proper divisors (713900340).

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

413331948 is a wasteful number, since it uses less digits than its factorization.

413331948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12823 (or 12818 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 413331948 is about 20330.5668391218. The cubic root of 413331948 is about 744.9028884125.

The spelling of 413331948 in words is "four hundred thirteen million, three hundred thirty-one thousand, nine hundred forty-eight".