456002820 has 432 divisors, whose sum is σ = 1793374128. Its totient is φ = 92897280.

The previous prime is 456002819. The next prime is 456002843. The reversal of 456002820 is 28200654.

It can be written as a sum of positive squares in 8 ways, for example, as 134374464 + 321628356 = 11592^2 + 17934^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4701012 + ... + 4701108.

It is an arithmetic number, because the mean of its divisors is an integer number (4151329).

Almost surely, 2^456002820 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 456002820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896687064).

456002820 is an abundant number, since it is smaller than the sum of its proper divisors (1337371308).

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

456002820 is a wasteful number, since it uses less digits than its factorization.

456002820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 456002820 is about 21354.2225332603. Note that the first 3 decimals coincide. The cubic root of 456002820 is about 769.7018129148.

The spelling of 456002820 in words is "four hundred fifty-six million, two thousand, eight hundred twenty".