4920489600 has 384 divisors, whose sum is σ = 17689492800. Its totient is φ = 1194885120.

The previous prime is 4920489599. The next prime is 4920489647. The reversal of 4920489600 is 69840294.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4920489600² = 48422435807416320000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 11106979 + ... + 11107421.

Almost surely, 2^4920489600 is an apocalyptic number.

4920489600 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 4920489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8844746400).

4920489600 is an abundant number, since it is smaller than the sum of its proper divisors (12769003200).

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

4920489600 is a wasteful number, since it uses less digits than its factorization.

4920489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 4920489600 is about 70146.2016077849. The cubic root of 4920489600 is about 1700.8634137706.

The spelling of 4920489600 in words is "four billion, nine hundred twenty million, four hundred eighty-nine thousand, six hundred".