413233848 has 96 divisors (see below), whose sum is σ = 1138176000. Its totient is φ = 135432000.

The previous prime is 413233819. The next prime is 413233859. The reversal of 413233848 is 848332314.

It is a happy number.

413233848 is a `hidden beast` number, since 413 + 233 + 8 + 4 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2076453 + ... + 2076651.

It is an arithmetic number, because the mean of its divisors is an integer number (11856000).

Almost surely, 2^413233848 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 413233848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569088000).

413233848 is an abundant number, since it is smaller than the sum of its proper divisors (724942152).

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

413233848 is a wasteful number, since it uses less digits than its factorization.

413233848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 546 counting only the distinct ones).

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

The square root of 413233848 is about 20328.1540726156. The cubic root of 413233848 is about 744.8439521219.

The spelling of 413233848 in words is "four hundred thirteen million, two hundred thirty-three thousand, eight hundred forty-eight".