4972800 has 216 divisors, whose sum is σ = 19262656. Its totient is φ = 1105920.

The previous prime is 4972783. The next prime is 4972829. The reversal of 4972800 is 82794.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 5.

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, 134382 + ... + 134418.

Almost surely, 2^4972800 is an apocalyptic number.

4972800 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 4972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9631328).

4972800 is an abundant number, since it is smaller than the sum of its proper divisors (14289856).

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

4972800 is a wasteful number, since it uses less digits than its factorization.

4972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 4972800 is about 2229.9775783626. The cubic root of 4972800 is about 170.6869550534.

The spelling of 4972800 in words is "four million, nine hundred seventy-two thousand, eight hundred".