4726400 has 96 divisors (see below), whose sum is σ = 13406880. Its totient is φ = 1612800.

The previous prime is 4726387. The next prime is 4726409. The reversal of 4726400 is 46274.

It is not an unprimeable number, because it can be changed into a prime (4726409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22295 + ... + 22505.

It is an arithmetic number, because the mean of its divisors is an integer number (139655).

Almost surely, 2^4726400 is an apocalyptic number.

4726400 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 4726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6703440).

4726400 is an abundant number, since it is smaller than the sum of its proper divisors (8680480).

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

4726400 is a wasteful number, since it uses less digits than its factorization.

4726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 4726400 is about 2174.0285186722. The cubic root of 4726400 is about 167.8199128451.

The spelling of 4726400 in words is "four million, seven hundred twenty-six thousand, four hundred".