414155140 has 72 divisors (see below), whose sum is σ = 1010560320. Its totient is φ = 139664448.

The previous prime is 414155129. The next prime is 414155153. The reversal of 414155140 is 41551414.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 628131 + ... + 628789.

It is an arithmetic number, because the mean of its divisors is an integer number (14035560).

Almost surely, 2^414155140 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 414155140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505280160).

414155140 is an abundant number, since it is smaller than the sum of its proper divisors (596405180).

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

414155140 is a wasteful number, since it uses less digits than its factorization.

414155140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 414155140 is about 20350.8019498004. The cubic root of 414155140 is about 745.3970767353.

The spelling of 414155140 in words is "four hundred fourteen million, one hundred fifty-five thousand, one hundred forty".