4472932464 has 810 divisors, whose sum is σ = 17890917408. Its totient is φ = 1037836800.

The previous prime is 4472932463. The next prime is 4472932517. The reversal of 4472932464 is 4642392744.

It is a super-2 number, since 2×4472932464² = 40014249655010222592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4472932463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 144288129 + ... + 144288159.

Almost surely, 2^4472932464 is an apocalyptic number.

4472932464 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 4472932464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8945458704).

4472932464 is an abundant number, since it is smaller than the sum of its proper divisors (13417984944).

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

4472932464 is a wasteful number, since it uses less digits than its factorization.

4472932464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 67 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 4472932464 is about 66879.9855263142. The cubic root of 4472932464 is about 1647.6467787773.

The spelling of 4472932464 in words is "four billion, four hundred seventy-two million, nine hundred thirty-two thousand, four hundred sixty-four".