4780440 has 144 divisors (see below), whose sum is σ = 18139680. Its totient is φ = 1088640.

The previous prime is 4780429. The next prime is 4780453. The reversal of 4780440 is 440874.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17505 + ... + 17775.

It is an arithmetic number, because the mean of its divisors is an integer number (125970).

Almost surely, 2^4780440 is an apocalyptic number.

4780440 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 4780440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9069840).

4780440 is an abundant number, since it is smaller than the sum of its proper divisors (13359240).

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

4780440 is a wasteful number, since it uses less digits than its factorization.

4780440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4780440 is about 2186.4217342498. The cubic root of 4780440 is about 168.4570885747.

The spelling of 4780440 in words is "four million, seven hundred eighty thousand, four hundred forty".