4960924800 has 384 divisors, whose sum is σ = 17792194560. Its totient is φ = 1207664640.

The previous prime is 4960924799. The next prime is 4960924811. The reversal of 4960924800 is 84290694.

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

It is a super-2 number, since 2×4960924800² = 49221549742510080000, which contains 22 as substring.

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, 15849444 + ... + 15849756.

It is an arithmetic number, because the mean of its divisors is an integer number (46333840).

Almost surely, 2^4960924800 is an apocalyptic number.

4960924800 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 4960924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8896097280).

4960924800 is an abundant number, since it is smaller than the sum of its proper divisors (12831269760).

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

4960924800 is a wasteful number, since it uses less digits than its factorization.

4960924800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 463 counting only the distinct ones).

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

The square root of 4960924800 is about 70433.8327794250. The cubic root of 4960924800 is about 1705.5097818324.

The spelling of 4960924800 in words is "four billion, nine hundred sixty million, nine hundred twenty-four thousand, eight hundred".