456431745 has 64 divisors (see below), whose sum is σ = 915701760. Its totient is φ = 188601600.

The previous prime is 456431687. The next prime is 456431749. The reversal of 456431745 is 547134654.

It is a happy number.

It is not a de Polignac number, because 456431745 - 2⁸ = 456431489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (456431749) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219571 + ... + 221639.

It is an arithmetic number, because the mean of its divisors is an integer number (14307840).

Almost surely, 2^456431745 is an apocalyptic number.

It is an amenable number.

456431745 is an abundant number, since it is smaller than the sum of its proper divisors (459270015).

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

456431745 is a wasteful number, since it uses less digits than its factorization.

456431745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2286.

The product of its digits is 201600, while the sum is 39.

The square root of 456431745 is about 21364.2632683648. The cubic root of 456431745 is about 769.9430693840.

The spelling of 456431745 in words is "four hundred fifty-six million, four hundred thirty-one thousand, seven hundred forty-five".