4740800 has 42 divisors (see below), whose sum is σ = 11669268. Its totient is φ = 1895680.

The previous prime is 4740787. The next prime is 4740803. The reversal of 4740800 is 80474.

It is not an unprimeable number, because it can be changed into a prime (4740803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 119 + ... + 3081.

Almost surely, 2^4740800 is an apocalyptic number.

4740800 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 4740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5834634).

4740800 is an abundant number, since it is smaller than the sum of its proper divisors (6928468).

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

4740800 is a wasteful number, since it uses less digits than its factorization.

4740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 4740800 is about 2177.3378240411. The cubic root of 4740800 is about 167.9901732725.

The spelling of 4740800 in words is "four million, seven hundred forty thousand, eight hundred".