4964400 has 180 divisors, whose sum is σ = 19788912. Its totient is φ = 1128960.

The previous prime is 4964387. The next prime is 4964411. The reversal of 4964400 is 44694.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25102 + ... + 25298.

Almost surely, 2^4964400 is an apocalyptic number.

4964400 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 4964400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9894456).

4964400 is an abundant number, since it is smaller than the sum of its proper divisors (14824512).

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

4964400 is a wasteful number, since it uses less digits than its factorization.

4964400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4964400 is about 2228.0933553153. The cubic root of 4964400 is about 170.5907933682.

The spelling of 4964400 in words is "four million, nine hundred sixty-four thousand, four hundred".