413402352 has 80 divisors (see below), whose sum is σ = 1172698752. Its totient is φ = 124450560.

The previous prime is 413402351. The next prime is 413402449. The reversal of 413402352 is 253204314.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413402351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80403 + ... + 85389.

Almost surely, 2^413402352 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 413402352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586349376).

413402352 is an abundant number, since it is smaller than the sum of its proper divisors (759296400).

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

413402352 is a wasteful number, since it uses less digits than its factorization.

413402352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5166 (or 5160 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 413402352 is about 20332.2982468780. The cubic root of 413402352 is about 744.9451798168.

Adding to 413402352 its reverse (253204314), we get a palindrome (666606666).

The spelling of 413402352 in words is "four hundred thirteen million, four hundred two thousand, three hundred fifty-two".