456014196 has 72 divisors (see below), whose sum is σ = 1291521504. Its totient is φ = 134447040.

The previous prime is 456014189. The next prime is 456014203. The reversal of 456014196 is 691410654.

456014196 is a `hidden beast` number, since 4 + 5 + 601 + 41 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (456014189) and next prime (456014203).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 456014196.

It is a congruent number.

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, 910 + ... + 30213.

Almost surely, 2^456014196 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 456014196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645760752).

456014196 is an abundant number, since it is smaller than the sum of its proper divisors (835507308).

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

456014196 is a wasteful number, since it uses less digits than its factorization.

456014196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31181 (or 31176 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 456014196 is about 21354.4888957802. The cubic root of 456014196 is about 769.7082135003.

The spelling of 456014196 in words is "four hundred fifty-six million, fourteen thousand, one hundred ninety-six".