456291201 has 16 divisors (see below), whose sum is σ = 634500608. Its totient is φ = 291340800.

The previous prime is 456291197. The next prime is 456291221. The reversal of 456291201 is 102192654.

It is not a de Polignac number, because 456291201 - 2² = 456291197 is a prime.

It is a super-2 number, since 2×456291201² = 416403320220044802, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (456291221) 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, 16270 + ... + 34311.

It is an arithmetic number, because the mean of its divisors is an integer number (39656288).

Almost surely, 2^456291201 is an apocalyptic number.

It is an amenable number.

456291201 is a deficient number, since it is larger than the sum of its proper divisors (178209407).

456291201 is a wasteful number, since it uses less digits than its factorization.

456291201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50712.

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 456291201 is about 21360.9737839828. The cubic root of 456291201 is about 769.8640345750.

The spelling of 456291201 in words is "four hundred fifty-six million, two hundred ninety-one thousand, two hundred one".