4780470240 has 432 divisors, whose sum is σ = 20183645664. Its totient is φ = 1003345920.

The previous prime is 4780470197. The next prime is 4780470271. The reversal of 4780470240 is 420740874.

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

It is a junction number, because it is equal to n+sod(n) for n = 4780470195 and 4780470204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25028545 + ... + 25028735.

It is an arithmetic number, because the mean of its divisors is an integer number (46721402).

Almost surely, 2^4780470240 is an apocalyptic number.

4780470240 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 4780470240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10091822832).

4780470240 is an abundant number, since it is smaller than the sum of its proper divisors (15403175424).

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

4780470240 is a wasteful number, since it uses less digits than its factorization.

4780470240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 4780470240 is about 69140.9447433285. The cubic root of 4780470240 is about 1684.5744378132.

The spelling of 4780470240 in words is "four billion, seven hundred eighty million, four hundred seventy thousand, two hundred forty".