4924800 has 240 divisors, whose sum is σ = 19130100. Its totient is φ = 1244160.

The previous prime is 4924771. The next prime is 4924817. The reversal of 4924800 is 84294.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×4924800³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 259191 + ... + 259209.

Almost surely, 2^4924800 is an apocalyptic number.

4924800 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 4924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9565050).

4924800 is an abundant number, since it is smaller than the sum of its proper divisors (14205300).

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

4924800 is a wasteful number, since it uses less digits than its factorization.

4924800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4924800 is about 2219.1890410688. The cubic root of 4924800 is about 170.1359926821.

The spelling of 4924800 in words is "four million, nine hundred twenty-four thousand, eight hundred".