4920824400 has 120 divisors (see below), whose sum is σ = 16306709280. Its totient is φ = 1266961920.

The previous prime is 4920824351. The next prime is 4920824449. The reversal of 4920824400 is 44280294.

It is an interprime number because it is at equal distance from previous prime (4920824351) and next prime (4920824449).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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, 35902 + ... + 105501.

It is an arithmetic number, because the mean of its divisors is an integer number (135889244).

Almost surely, 2^4920824400 is an apocalyptic number.

4920824400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4920824400 is an abundant number, since it is smaller than the sum of its proper divisors (11385884880).

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

4920824400 is a wasteful number, since it uses less digits than its factorization.

4920824400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141453 (or 141442 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 4920824400 is about 70148.5880114490. The cubic root of 4920824400 is about 1700.9019896172.

The spelling of 4920824400 in words is "four billion, nine hundred twenty million, eight hundred twenty-four thousand, four hundred".