4748400 has 90 divisors (see below), whose sum is σ = 16490760. Its totient is φ = 1265280.

The previous prime is 4748399. The next prime is 4748407. The reversal of 4748400 is 48474.

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4748407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2941 + ... + 4259.

Almost surely, 2^4748400 is an apocalyptic number.

4748400 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 4748400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8245380).

4748400 is an abundant number, since it is smaller than the sum of its proper divisors (11742360).

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

4748400 is a wasteful number, since it uses less digits than its factorization.

4748400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4748400 is about 2179.0823756802. The cubic root of 4748400 is about 168.0798939724.

The spelling of 4748400 in words is "four million, seven hundred forty-eight thousand, four hundred".