413498952 has 64 divisors (see below), whose sum is σ = 1152921600. Its totient is φ = 137315520.

The previous prime is 413498947. The next prime is 413498971. The reversal of 413498952 is 259894314.

It is a junction number, because it is equal to n+sod(n) for n = 413498898 and 413498907.

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, 56377 + ... + 63287.

It is an arithmetic number, because the mean of its divisors is an integer number (18014400).

Almost surely, 2^413498952 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 413498952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576460800).

413498952 is an abundant number, since it is smaller than the sum of its proper divisors (739422648).

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

413498952 is a wasteful number, since it uses less digits than its factorization.

413498952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7203 (or 7193 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 413498952 is about 20334.6736388859. The cubic root of 413498952 is about 745.0031992416.

The spelling of 413498952 in words is "four hundred thirteen million, four hundred ninety-eight thousand, nine hundred fifty-two".