413259140 has 144 divisors (see below), whose sum is σ = 1063931904. Its totient is φ = 134265600.

The previous prime is 413259107. The next prime is 413259163. The reversal of 413259140 is 41952314.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1853069 + ... + 1853291.

It is an arithmetic number, because the mean of its divisors is an integer number (7388416).

Almost surely, 2^413259140 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 413259140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531965952).

413259140 is an abundant number, since it is smaller than the sum of its proper divisors (650672764).

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

413259140 is a wasteful number, since it uses less digits than its factorization.

413259140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 413259140 is about 20328.7761559815. The cubic root of 413259140 is about 744.8591478834.

The spelling of 413259140 in words is "four hundred thirteen million, two hundred fifty-nine thousand, one hundred forty".