4738240 has 112 divisors (see below), whose sum is σ = 13057632. Its totient is φ = 1622016.

The previous prime is 4738193. The next prime is 4738241. The reversal of 4738240 is 428374.

It is a junction number, because it is equal to n+sod(n) for n = 4738199 and 4738208.

It is not an unprimeable number, because it can be changed into a prime (4738241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70687 + ... + 70753.

It is an arithmetic number, because the mean of its divisors is an integer number (116586).

Almost surely, 2^4738240 is an apocalyptic number.

4738240 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 4738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6528816).

4738240 is an abundant number, since it is smaller than the sum of its proper divisors (8319392).

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

4738240 is a wasteful number, since it uses less digits than its factorization.

4738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 4738240 is about 2176.7498707936. The cubic root of 4738240 is about 167.9599299749.

The spelling of 4738240 in words is "four million, seven hundred thirty-eight thousand, two hundred forty".