413048160 has 480 divisors, whose sum is σ = 1734384960. Its totient is φ = 90574848.

The previous prime is 413048137. The next prime is 413048171. The reversal of 413048160 is 61840314.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2630802 + ... + 2630958.

It is an arithmetic number, because the mean of its divisors is an integer number (3613302).

Almost surely, 2^413048160 is an apocalyptic number.

413048160 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 413048160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867192480).

413048160 is an abundant number, since it is smaller than the sum of its proper divisors (1321336800).

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

413048160 is a wasteful number, since it uses less digits than its factorization.

413048160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 413048160 is about 20323.5862976985. The cubic root of 413048160 is about 744.7323693736.

Adding to 413048160 its reverse (61840314), we get a palindrome (474888474).

The spelling of 413048160 in words is "four hundred thirteen million, forty-eight thousand, one hundred sixty".