4724974800 has 360 divisors, whose sum is σ = 20182291584. Its totient is φ = 996848640.

The previous prime is 4724974799. The next prime is 4724974879. The reversal of 4724974800 is 84794274.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 320389 + ... + 334811.

Almost surely, 2^4724974800 is an apocalyptic number.

4724974800 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 4724974800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10091145792).

4724974800 is an abundant number, since it is smaller than the sum of its proper divisors (15457316784).

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

4724974800 is a wasteful number, since it uses less digits than its factorization.

4724974800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14467 (or 14453 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 4724974800 is about 68738.4521210654. The cubic root of 4724974800 is about 1678.0304299463.

The spelling of 4724974800 in words is "four billion, seven hundred twenty-four million, nine hundred seventy-four thousand, eight hundred".