4506499920 has 240 divisors, whose sum is σ = 15256648512. Its totient is φ = 1099837440.

The previous prime is 4506499913. The next prime is 4506499939. The reversal of 4506499920 is 299946054.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4506499920.

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, 5556315 + ... + 5557125.

Almost surely, 2^4506499920 is an apocalyptic number.

4506499920 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 4506499920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7628324256).

4506499920 is an abundant number, since it is smaller than the sum of its proper divisors (10750148592).

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

4506499920 is a wasteful number, since it uses less digits than its factorization.

4506499920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The square root of 4506499920 is about 67130.4693861141. The cubic root of 4506499920 is about 1651.7581406582.

The spelling of 4506499920 in words is "four billion, five hundred six million, four hundred ninety-nine thousand, nine hundred twenty".