4682400 has 72 divisors (see below), whose sum is σ = 15249024. Its totient is φ = 1248000.

The previous prime is 4682371. The next prime is 4682401. The reversal of 4682400 is 42864.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4682401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1425 + ... + 3375.

It is an arithmetic number, because the mean of its divisors is an integer number (211792).

Almost surely, 2^4682400 is an apocalyptic number.

4682400 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 4682400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7624512).

4682400 is an abundant number, since it is smaller than the sum of its proper divisors (10566624).

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

4682400 is a wasteful number, since it uses less digits than its factorization.

4682400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4682400 is about 2163.8853943774. The cubic root of 4682400 is about 167.2975202409.

Subtracting from 4682400 its product of nonzero digits (1536), we obtain a palindrome (4680864).

The spelling of 4682400 in words is "four million, six hundred eighty-two thousand, four hundred".