4977600 has 168 divisors, whose sum is σ = 17574768. Its totient is φ = 1228800.

The previous prime is 4977571. The next prime is 4977611. The reversal of 4977600 is 67794.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81570 + ... + 81630.

Almost surely, 2^4977600 is an apocalyptic number.

4977600 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 4977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8787384).

4977600 is an abundant number, since it is smaller than the sum of its proper divisors (12597168).

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

4977600 is a wasteful number, since it uses less digits than its factorization.

4977600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 4977600 is about 2231.0535627815. The cubic root of 4977600 is about 170.7418559755.

The spelling of 4977600 in words is "four million, nine hundred seventy-seven thousand, six hundred".