456036020 has 48 divisors (see below), whose sum is σ = 1080777600. Its totient is φ = 160110720.

The previous prime is 456036013. The next prime is 456036029. The reversal of 456036020 is 20630654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456036029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29360 + ... + 42119.

It is an arithmetic number, because the mean of its divisors is an integer number (22516200).

Almost surely, 2^456036020 is an apocalyptic number.

It is an amenable number.

456036020 is an abundant number, since it is smaller than the sum of its proper divisors (624741580).

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

456036020 is a wasteful number, since it uses less digits than its factorization.

456036020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71528 (or 71526 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 456036020 is about 21354.9998829314. Note that the first 3 decimals coincide. The cubic root of 456036020 is about 769.7204922438.

Adding to 456036020 its reverse (20630654), we get a palindrome (476666674).

The spelling of 456036020 in words is "four hundred fifty-six million, thirty-six thousand, twenty".