4509807456 has 288 divisors, whose sum is σ = 15283296000. Its totient is φ = 1138959360.

The previous prime is 4509807443. The next prime is 4509807469. The reversal of 4509807456 is 6547089054.

It is an interprime number because it is at equal distance from previous prime (4509807443) and next prime (4509807469).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3007795 + ... + 3009293.

It is an arithmetic number, because the mean of its divisors is an integer number (53067000).

Almost surely, 2^4509807456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4509807456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7641648000).

4509807456 is an abundant number, since it is smaller than the sum of its proper divisors (10773488544).

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

4509807456 is a wasteful number, since it uses less digits than its factorization.

4509807456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The square root of 4509807456 is about 67155.0999999255. The cubic root of 4509807456 is about 1652.1621432896.

The spelling of 4509807456 in words is "four billion, five hundred nine million, eight hundred seven thousand, four hundred fifty-six".