4742434400 has 144 divisors (see below), whose sum is σ = 13179656448. Its totient is φ = 1649472000.

The previous prime is 4742434399. The next prime is 4742434451. The reversal of 4742434400 is 44342474.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190685 + ... + 214115.

It is an arithmetic number, because the mean of its divisors is an integer number (91525392).

Almost surely, 2^4742434400 is an apocalyptic number.

4742434400 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 4742434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6589828224).

4742434400 is an abundant number, since it is smaller than the sum of its proper divisors (8437222048).

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

4742434400 is a wasteful number, since it uses less digits than its factorization.

4742434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23485 (or 23472 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 32.

The square root of 4742434400 is about 68865.3352565716. The cubic root of 4742434400 is about 1680.0947603390.

Adding to 4742434400 its reverse (44342474), we get a palindrome (4786776874).

The spelling of 4742434400 in words is "four billion, seven hundred forty-two million, four hundred thirty-four thousand, four hundred".