4742320 has 80 divisors (see below), whose sum is σ = 12775968. Its totient is φ = 1617920.

The previous prime is 4742317. The next prime is 4742321. The reversal of 4742320 is 232474.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 4742291 and 4742300.

It is not an unprimeable number, because it can be changed into a prime (4742321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14802 + ... + 15118.

Almost surely, 2^4742320 is an apocalyptic number.

4742320 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 4742320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6387984).

4742320 is an abundant number, since it is smaller than the sum of its proper divisors (8033648).

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

4742320 is a wasteful number, since it uses less digits than its factorization.

4742320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 4742320 is about 2177.6868461742. The cubic root of 4742320 is about 168.0081250794.

Adding to 4742320 its reverse (232474), we get a palindrome (4974794).

The spelling of 4742320 in words is "four million, seven hundred forty-two thousand, three hundred twenty".