413894376 has 288 divisors, whose sum is σ = 1414895040. Its totient is φ = 108573696.

The previous prime is 413894339. The next prime is 413894387. The reversal of 413894376 is 673498314.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4018341 + ... + 4018443.

It is an arithmetic number, because the mean of its divisors is an integer number (4912830).

Almost surely, 2^413894376 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 413894376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707447520).

413894376 is an abundant number, since it is smaller than the sum of its proper divisors (1001000664).

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

413894376 is a wasteful number, since it uses less digits than its factorization.

413894376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 199 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 413894376 is about 20344.3942156064. The cubic root of 413894376 is about 745.2406027372.

The spelling of 413894376 in words is "four hundred thirteen million, eight hundred ninety-four thousand, three hundred seventy-six".