4977504 has 96 divisors (see below), whose sum is σ = 16611840. Its totient is φ = 1420416.

The previous prime is 4977493. The next prime is 4977517. The reversal of 4977504 is 4057794.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5637 + ... + 6459.

It is an arithmetic number, because the mean of its divisors is an integer number (173040).

Almost surely, 2^4977504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4977504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8305920).

4977504 is an abundant number, since it is smaller than the sum of its proper divisors (11634336).

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

4977504 is a wasteful number, since it uses less digits than its factorization.

4977504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 4977504 is about 2231.0320481786. The cubic root of 4977504 is about 170.7407583030.

It can be divided in two parts, 497 and 7504, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 4977504 in words is "four million, nine hundred seventy-seven thousand, five hundred four".