4877460 has 144 divisors (see below), whose sum is σ = 17472000. Its totient is φ = 1100736.

The previous prime is 4877459. The next prime is 4877489. The reversal of 4877460 is 647784.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 61701 + ... + 61779.

Almost surely, 2^4877460 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 4877460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8736000).

4877460 is an abundant number, since it is smaller than the sum of its proper divisors (12594540).

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

4877460 is a wasteful number, since it uses less digits than its factorization.

4877460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4877460 is about 2208.4972266227. The cubic root of 4877460 is about 169.5890883125.

The spelling of 4877460 in words is "four million, eight hundred seventy-seven thousand, four hundred sixty".