413338752 has 72 divisors (see below), whose sum is σ = 1191414315. Its totient is φ = 137549568.

The previous prime is 413338703. The next prime is 413338759. The reversal of 413338752 is 257833314.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 206669376 + 206669376 = 14376^2 + 14376^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=14376.

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

It is not an unprimeable number, because it can be changed into a prime (413338759) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 689749 + ... + 690347.

Almost surely, 2^413338752 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 413338752

413338752 is an abundant number, since it is smaller than the sum of its proper divisors (778075563).

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

413338752 is an frugal number, since it uses more digits than its factorization.

413338752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 604 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 413338752 is about 20330.7341726756. The cubic root of 413338752 is about 744.9069757580.

The spelling of 413338752 in words is "four hundred thirteen million, three hundred thirty-eight thousand, seven hundred fifty-two".