413446140 has 96 divisors (see below), whose sum is σ = 1321104960. Its totient is φ = 107267328.

The previous prime is 413446139. The next prime is 413446193. The reversal of 413446140 is 41644314.

413446140 is a `hidden beast` number, since 4 + 1 + 3 + 44 + 614 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9634 + ... + 30326.

It is an arithmetic number, because the mean of its divisors is an integer number (13761510).

Almost surely, 2^413446140 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 413446140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660552480).

413446140 is an abundant number, since it is smaller than the sum of its proper divisors (907658820).

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

413446140 is a wasteful number, since it uses less digits than its factorization.

413446140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20748 (or 20740 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 413446140 is about 20333.3750272797. The cubic root of 413446140 is about 744.9714806734.

The spelling of 413446140 in words is "four hundred thirteen million, four hundred forty-six thousand, one hundred forty".