456478504809 has 16 divisors (see below), whose sum is σ = 613665163584. Its totient is φ = 301808312000.

The previous prime is 456478504789. The next prime is 456478504879. The reversal of 456478504809 is 908405874654.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 456478504809 - 2⁷ = 456478504681 is a prime.

It is a super-2 number, since 2×456478504809² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (456478504879) 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, 273859 + ... + 993959.

It is an arithmetic number, because the mean of its divisors is an integer number (38354072724).

Almost surely, 2^456478504809 is an apocalyptic number.

It is an amenable number.

456478504809 is a deficient number, since it is larger than the sum of its proper divisors (157186658775).

456478504809 is a wasteful number, since it uses less digits than its factorization.

456478504809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721848.

The product of its (nonzero) digits is 38707200, while the sum is 60.

The spelling of 456478504809 in words is "four hundred fifty-six billion, four hundred seventy-eight million, five hundred four thousand, eight hundred nine".