4591480320 has 600 divisors, whose sum is σ = 18774251496. Its totient is φ = 1036836864.

The previous prime is 4591480279. The next prime is 4591480349. The reversal of 4591480320 is 230841954.

4591480320 is a `hidden beast` number, since 4 + 591 + 48 + 0 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 55318999 + ... + 55319081.

Almost surely, 2^4591480320 is an apocalyptic number.

4591480320 is a gapful number since it is divisible by the number (40) 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 4591480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9387125748).

4591480320 is an abundant number, since it is smaller than the sum of its proper divisors (14182771176).

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

4591480320 is an frugal number, since it uses more digits than its factorization.

4591480320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4591480320 is about 67760.4628083368. The cubic root of 4591480320 is about 1662.0761172331.

The spelling of 4591480320 in words is "four billion, five hundred ninety-one million, four hundred eighty thousand, three hundred twenty".