4746400 has 72 divisors (see below), whose sum is σ = 12303900. Its totient is φ = 1781760.

The previous prime is 4746377. The next prime is 4746407. The reversal of 4746400 is 46474.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2972176 + 1774224 = 1724^2 + 1332^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4746407) 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, 13426 + ... + 13774.

Almost surely, 2^4746400 is an apocalyptic number.

4746400 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 4746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6151950).

4746400 is an abundant number, since it is smaller than the sum of its proper divisors (7557500).

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

4746400 is a wasteful number, since it uses less digits than its factorization.

4746400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 4746400 is about 2178.6234185834. The cubic root of 4746400 is about 168.0562925491.

The spelling of 4746400 in words is "four million, seven hundred forty-six thousand, four hundred".