410152116 has 48 divisors (see below), whose sum is σ = 1048436928. Its totient is φ = 123763200.

The previous prime is 410152111. The next prime is 410152147. The reversal of 410152116 is 611251014.

It is a junction number, because it is equal to n+sod(n) for n = 410152092 and 410152101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410152111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25366 + ... + 38258.

It is an arithmetic number, because the mean of its divisors is an integer number (21842436).

Almost surely, 2^410152116 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 410152116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524218464).

410152116 is an abundant number, since it is smaller than the sum of its proper divisors (638284812).

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

410152116 is a wasteful number, since it uses less digits than its factorization.

410152116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13152 (or 13150 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 410152116 is about 20252.2126198596. The cubic root of 410152116 is about 742.9877478662.

The spelling of 410152116 in words is "four hundred ten million, one hundred fifty-two thousand, one hundred sixteen".