456814620 has 192 divisors, whose sum is σ = 1490227200. Its totient is φ = 116052480.

The previous prime is 456814619. The next prime is 456814627. The reversal of 456814620 is 26418654.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456814627) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1040361 + ... + 1040799.

It is an arithmetic number, because the mean of its divisors is an integer number (7761600).

Almost surely, 2^456814620 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 456814620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745113600).

456814620 is an abundant number, since it is smaller than the sum of its proper divisors (1033412580).

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

456814620 is a wasteful number, since it uses less digits than its factorization.

456814620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 456814620 is about 21373.2220313176. Note that the first 3 decimals coincide. The cubic root of 456814620 is about 770.1582965719.

The spelling of 456814620 in words is "four hundred fifty-six million, eight hundred fourteen thousand, six hundred twenty".