4799600 has 90 divisors (see below), whose sum is σ = 12662136. Its totient is φ = 1747200.

The previous prime is 4799573. The next prime is 4799623. The reversal of 4799600 is 69974.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 67565 + ... + 67635.

Almost surely, 2^4799600 is an apocalyptic number.

4799600 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 4799600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6331068).

4799600 is an abundant number, since it is smaller than the sum of its proper divisors (7862536).

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

4799600 is a wasteful number, since it uses less digits than its factorization.

4799600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 4799600 is about 2190.7989410259. The cubic root of 4799600 is about 168.6818471932.

The spelling of 4799600 in words is "four million, seven hundred ninety-nine thousand, six hundred".