4758400 has 48 divisors (see below), whose sum is σ = 11762640. Its totient is φ = 1902080.

The previous prime is 4758389. The next prime is 4758437. The reversal of 4758400 is 48574.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2457 + ... + 3943.

It is an arithmetic number, because the mean of its divisors is an integer number (245055).

Almost surely, 2^4758400 is an apocalyptic number.

4758400 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 4758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5881320).

4758400 is an abundant number, since it is smaller than the sum of its proper divisors (7004240).

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

4758400 is a wasteful number, since it uses less digits than its factorization.

4758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 4758400 is about 2181.3757127098. The cubic root of 4758400 is about 168.1978017879.

The spelling of 4758400 in words is "four million, seven hundred fifty-eight thousand, four hundred".