465474474564 has 288 divisors, whose sum is σ = 1284038179200. Its totient is φ = 130749696000.

The previous prime is 465474474557. The next prime is 465474474587.

465474474564 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 465474474498 and 465474474507.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 247987594 + ... + 247989470.

It is an arithmetic number, because the mean of its divisors is an integer number (4458465900).

Almost surely, 2^465474474564 is an apocalyptic number.

465474474564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465474474564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642019089600).

465474474564 is an abundant number, since it is smaller than the sum of its proper divisors (818563704636).

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

465474474564 is a wasteful number, since it uses less digits than its factorization.

465474474564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2102 counting only the distinct ones).

The product of its digits is 180633600, while the sum is 60.

The spelling of 465474474564 in words is "four hundred sixty-five billion, four hundred seventy-four million, four hundred seventy-four thousand, five hundred sixty-four".