456201280 has 28 divisors (see below), whose sum is σ = 1086330060. Its totient is φ = 182480384.

The previous prime is 456201271. The next prime is 456201289. The reversal of 456201280 is 82102654.

It is an interprime number because it is at equal distance from previous prime (456201271) and next prime (456201289).

It can be written as a sum of positive squares in 2 ways, for example, as 70157376 + 386043904 = 8376^2 + 19648^2 .

It is not an unprimeable number, because it can be changed into a prime (456201289) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 712495 + ... + 713134.

Almost surely, 2^456201280 is an apocalyptic number.

456201280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456201280 is an abundant number, since it is smaller than the sum of its proper divisors (630128780).

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

456201280 is a wasteful number, since it uses less digits than its factorization.

456201280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425646 (or 1425636 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 456201280 is about 21358.8688839086. The cubic root of 456201280 is about 769.8134590567.

The spelling of 456201280 in words is "four hundred fifty-six million, two hundred one thousand, two hundred eighty".