413392896 has 280 divisors, whose sum is σ = 1427286960. Its totient is φ = 116785152.

The previous prime is 413392831. The next prime is 413392909. The reversal of 413392896 is 698293314.

It is a happy number.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4644820 + ... + 4644908.

Almost surely, 2^413392896 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 413392896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713643480).

413392896 is an abundant number, since it is smaller than the sum of its proper divisors (1013894064).

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

413392896 is an frugal number, since it uses more digits than its factorization.

413392896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 101 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 413392896 is about 20332.0657091207. The cubic root of 413392896 is about 744.9394999141.

It can be divided in two parts, 4 and 13392896, that added together give a triangular number (13392900 = T₅₁₇₅).

The spelling of 413392896 in words is "four hundred thirteen million, three hundred ninety-two thousand, eight hundred ninety-six".