4780600 has 96 divisors (see below), whose sum is σ = 12655440. Its totient is φ = 1664000.

The previous prime is 4780597. The next prime is 4780637. The reversal of 4780600 is 60874.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 90174 + ... + 90226.

Almost surely, 2^4780600 is an apocalyptic number.

4780600 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 4780600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6327720).

4780600 is an abundant number, since it is smaller than the sum of its proper divisors (7874840).

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

4780600 is a wasteful number, since it uses less digits than its factorization.

4780600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 4780600 is about 2186.4583234080. The cubic root of 4780600 is about 168.4589679577.

The spelling of 4780600 in words is "four million, seven hundred eighty thousand, six hundred".