4920024400 has 120 divisors (see below), whose sum is σ = 12703651200. Its totient is φ = 1824430080.

The previous prime is 4920024391. The next prime is 4920024427. The reversal of 4920024400 is 44200294.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450201 + ... + 460999.

It is an arithmetic number, because the mean of its divisors is an integer number (105863760).

Almost surely, 2^4920024400 is an apocalyptic number.

4920024400 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 4920024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6351825600).

4920024400 is an abundant number, since it is smaller than the sum of its proper divisors (7783626800).

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

4920024400 is a wasteful number, since it uses less digits than its factorization.

4920024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10901 (or 10890 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 4920024400 is about 70142.8855978994. The cubic root of 4920024400 is about 1700.8098102568.

Adding to 4920024400 its reverse (44200294), we get a palindrome (4964224694).

The spelling of 4920024400 in words is "four billion, nine hundred twenty million, twenty-four thousand, four hundred".