413949696 has 72 divisors (see below), whose sum is σ = 1137314304. Its totient is φ = 133524480.

The previous prime is 413949649. The next prime is 413949703. The reversal of 413949696 is 696949314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15115 + ... + 32501.

It is an arithmetic number, because the mean of its divisors is an integer number (15796032).

Almost surely, 2^413949696 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 413949696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568657152).

413949696 is an abundant number, since it is smaller than the sum of its proper divisors (723364608).

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

413949696 is a wasteful number, since it uses less digits than its factorization.

413949696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17437 (or 17423 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 51.

The square root of 413949696 is about 20345.7537584627. The cubic root of 413949696 is about 745.2738035375.

It can be divided in two parts, 4139 and 49696, that added together give a palindrome (53835).

The spelling of 413949696 in words is "four hundred thirteen million, nine hundred forty-nine thousand, six hundred ninety-six".