410251116 has 96 divisors (see below), whose sum is σ = 1129201920. Its totient is φ = 114566400.

The previous prime is 410251103. The next prime is 410251129. The reversal of 410251116 is 611152014.

It is an interprime number because it is at equal distance from previous prime (410251103) and next prime (410251129).

It is a junction number, because it is equal to n+sod(n) for n = 410251092 and 410251101.

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, 90586 + ... + 95006.

It is an arithmetic number, because the mean of its divisors is an integer number (11762520).

Almost surely, 2^410251116 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 410251116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564600960).

410251116 is an abundant number, since it is smaller than the sum of its proper divisors (718950804).

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

410251116 is a wasteful number, since it uses less digits than its factorization.

410251116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4495 (or 4493 counting only the distinct ones).

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

The square root of 410251116 is about 20254.6566497682. The cubic root of 410251116 is about 743.0475223310.

The spelling of 410251116 in words is "four hundred ten million, two hundred fifty-one thousand, one hundred sixteen".