456169116 has 96 divisors (see below), whose sum is σ = 1191532608. Its totient is φ = 134922240.

The previous prime is 456169111. The next prime is 456169121. The reversal of 456169116 is 611961654.

It is an interprime number because it is at equal distance from previous prime (456169111) and next prime (456169121).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456169111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466420 + ... + 467396.

It is an arithmetic number, because the mean of its divisors is an integer number (12411798).

Almost surely, 2^456169116 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 456169116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595766304).

456169116 is an abundant number, since it is smaller than the sum of its proper divisors (735363492).

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

456169116 is a wasteful number, since it uses less digits than its factorization.

456169116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1109 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 456169116 is about 21358.1159281431. The cubic root of 456169116 is about 769.7953669973.

The spelling of 456169116 in words is "four hundred fifty-six million, one hundred sixty-nine thousand, one hundred sixteen".