4783414272 has 352 divisors, whose sum is σ = 15978783744. Its totient is φ = 1238630400.

The previous prime is 4783414271. The next prime is 4783414277. The reversal of 4783414272 is 2724143874.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4783414271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19848072 + ... + 19848312.

It is an arithmetic number, because the mean of its divisors is an integer number (45394272).

Almost surely, 2^4783414272 is an apocalyptic number.

4783414272 is a gapful number since it is divisible by the number (42) 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 4783414272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7989391872).

4783414272 is an abundant number, since it is smaller than the sum of its proper divisors (11195369472).

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

4783414272 is a wasteful number, since it uses less digits than its factorization.

4783414272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 337 counting only the distinct ones).

The product of its digits is 301056, while the sum is 42.

The square root of 4783414272 is about 69162.2315429455. The cubic root of 4783414272 is about 1684.9201794848.

The spelling of 4783414272 in words is "four billion, seven hundred eighty-three million, four hundred fourteen thousand, two hundred seventy-two".