4509624480 has 48 divisors (see below), whose sum is σ = 14205318624. Its totient is φ = 1202566400.

The previous prime is 4509624463. The next prime is 4509624487. The reversal of 4509624480 is 844269054.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4509624487) 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 7 ways as a sum of consecutive naturals, for example, 4697046 + ... + 4698005.

It is an arithmetic number, because the mean of its divisors is an integer number (295944138).

Almost surely, 2^4509624480 is an apocalyptic number.

4509624480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4509624480 is an abundant number, since it is smaller than the sum of its proper divisors (9695694144).

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

4509624480 is a wasteful number, since it uses less digits than its factorization.

4509624480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9395069 (or 9395061 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 4509624480 is about 67153.7376472822. The cubic root of 4509624480 is about 1652.1397986468.

The spelling of 4509624480 in words is "four billion, five hundred nine million, six hundred twenty-four thousand, four hundred eighty".