4764400 has 60 divisors (see below), whose sum is σ = 11754952. Its totient is φ = 1854720.

The previous prime is 4764391. The next prime is 4764401. The reversal of 4764400 is 44674.

It is a happy number.

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

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4764401) 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, 17062 + ... + 17338.

Almost surely, 2^4764400 is an apocalyptic number.

4764400 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 4764400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5877476).

4764400 is an abundant number, since it is smaller than the sum of its proper divisors (6990552).

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

4764400 is a wasteful number, since it uses less digits than its factorization.

4764400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 327 counting only the distinct ones).

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

The square root of 4764400 is about 2182.7505583552. The cubic root of 4764400 is about 168.2684672032.

The spelling of 4764400 in words is "four million, seven hundred sixty-four thousand, four hundred".