456027720 has 64 divisors (see below), whose sum is σ = 1448565120. Its totient is φ = 114453504.

The previous prime is 456027713. The next prime is 456027727. The reversal of 456027720 is 27720654.

It is an interprime number because it is at equal distance from previous prime (456027713) and next prime (456027727).

It is a super-2 number, since 2×456027720² = 415922562816796800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (456027727) 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, 109732 + ... + 113811.

It is an arithmetic number, because the mean of its divisors is an integer number (22633830).

Almost surely, 2^456027720 is an apocalyptic number.

456027720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456027720 is an abundant number, since it is smaller than the sum of its proper divisors (992537400).

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

456027720 is a wasteful number, since it uses less digits than its factorization.

456027720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223574 (or 223570 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 456027720 is about 21354.8055481664. The cubic root of 456027720 is about 769.7158224966.

The spelling of 456027720 in words is "four hundred fifty-six million, twenty-seven thousand, seven hundred twenty".