413194080 has 192 divisors, whose sum is σ = 1463132160. Its totient is φ = 97253376.

The previous prime is 413194073. The next prime is 413194081. The reversal of 413194080 is 80491314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413194081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142081 + ... + 144959.

It is an arithmetic number, because the mean of its divisors is an integer number (7620480).

Almost surely, 2^413194080 is an apocalyptic number.

413194080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413194080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731566080).

413194080 is an abundant number, since it is smaller than the sum of its proper divisors (1049938080).

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

413194080 is a wasteful number, since it uses less digits than its factorization.

413194080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2933 (or 2925 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 413194080 is about 20327.1758982895. The cubic root of 413194080 is about 744.8200577381.

The spelling of 413194080 in words is "four hundred thirteen million, one hundred ninety-four thousand, eighty".