4792800 has 72 divisors (see below), whose sum is σ = 15608376. Its totient is φ = 1277440.

The previous prime is 4792789. The next prime is 4792811. The reversal of 4792800 is 82974.

It is an interprime number because it is at equal distance from previous prime (4792789) and next prime (4792811).

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 11 ways as a sum of consecutive naturals, for example, 1402 + ... + 3398.

It is an arithmetic number, because the mean of its divisors is an integer number (216783).

Almost surely, 2^4792800 is an apocalyptic number.

4792800 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 4792800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7804188).

4792800 is an abundant number, since it is smaller than the sum of its proper divisors (10815576).

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

4792800 is a wasteful number, since it uses less digits than its factorization.

4792800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 2007 counting only the distinct ones).

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

The square root of 4792800 is about 2189.2464456977. The cubic root of 4792800 is about 168.6021475870.

The spelling of 4792800 in words is "four million, seven hundred ninety-two thousand, eight hundred".