4513589920 has 144 divisors (see below), whose sum is σ = 12944147328. Its totient is φ = 1480174080.

The previous prime is 4513589891. The next prime is 4513589953. The reversal of 4513589920 is 299853154.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167805 + ... + 192835.

It is an arithmetic number, because the mean of its divisors is an integer number (89889912).

Almost surely, 2^4513589920 is an apocalyptic number.

4513589920 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 4513589920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6472073664).

4513589920 is an abundant number, since it is smaller than the sum of its proper divisors (8430557408).

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

4513589920 is a wasteful number, since it uses less digits than its factorization.

4513589920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25083 (or 25068 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 46.

The square root of 4513589920 is about 67183.2562473716. The cubic root of 4513589920 is about 1652.6239144836.

The spelling of 4513589920 in words is "four billion, five hundred thirteen million, five hundred eighty-nine thousand, nine hundred twenty".