413547120 has 280 divisors, whose sum is σ = 1649153376. Its totient is φ = 94431744.

The previous prime is 413547119. The next prime is 413547131. The reversal of 413547120 is 21745314.

It is a tau number, because it is divible by the number of its divisors (280).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 407734 + ... + 408746.

Almost surely, 2^413547120 is an apocalyptic number.

413547120 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 413547120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824576688).

413547120 is an abundant number, since it is smaller than the sum of its proper divisors (1235606256).

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

413547120 is a wasteful number, since it uses less digits than its factorization.

413547120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 413547120 is about 20335.8579853420. The cubic root of 413547120 is about 745.0321262965.

The spelling of 413547120 in words is "four hundred thirteen million, five hundred forty-seven thousand, one hundred twenty".