416158140 has 96 divisors (see below), whose sum is σ = 1232824320. Its totient is φ = 104599296.

The previous prime is 416158139. The next prime is 416158189. The reversal of 416158140 is 41851614.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 416158098 and 416158107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253402 + ... + 255038.

It is an arithmetic number, because the mean of its divisors is an integer number (12841920).

Almost surely, 2^416158140 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 416158140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616412160).

416158140 is an abundant number, since it is smaller than the sum of its proper divisors (816666180).

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

416158140 is a wasteful number, since it uses less digits than its factorization.

416158140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 416158140 is about 20399.9544117138. The cubic root of 416158140 is about 746.5968122185.

The spelling of 416158140 in words is "four hundred sixteen million, one hundred fifty-eight thousand, one hundred forty".