4980075408 has 540 divisors, whose sum is σ = 18819680880. Its totient is φ = 1221454080.

The previous prime is 4980075349. The next prime is 4980075461. The reversal of 4980075408 is 8045700894.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 16221591 + ... + 16221897.

Almost surely, 2^4980075408 is an apocalyptic number.

4980075408 is a gapful number since it is divisible by the number (48) 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 4980075408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9409840440).

4980075408 is an abundant number, since it is smaller than the sum of its proper divisors (13839605472).

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

4980075408 is a wasteful number, since it uses less digits than its factorization.

4980075408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 4980075408 is about 70569.6493402086. The cubic root of 4980075408 is about 1707.7015513650.

The spelling of 4980075408 in words is "four billion, nine hundred eighty million, seventy-five thousand, four hundred eight".