4638400 has 84 divisors (see below), whose sum is σ = 12346432. Its totient is φ = 1704960.

The previous prime is 4638397. The next prime is 4638407. The reversal of 4638400 is 48364.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (4638407) 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, 20689 + ... + 20911.

Almost surely, 2^4638400 is an apocalyptic number.

4638400 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 4638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6173216).

4638400 is an abundant number, since it is smaller than the sum of its proper divisors (7708032).

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

4638400 is a wasteful number, since it uses less digits than its factorization.

4638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 4638400 is about 2153.6945001555. The cubic root of 4638400 is about 166.7718447226.

The spelling of 4638400 in words is "four million, six hundred thirty-eight thousand, four hundred".