4742400 has 216 divisors, whose sum is σ = 17741920. Its totient is φ = 1105920.

The previous prime is 4742383. The next prime is 4742407. The reversal of 4742400 is 42474.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4742407) 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 23 ways as a sum of consecutive naturals, for example, 249591 + ... + 249609.

Almost surely, 2^4742400 is an apocalyptic number.

4742400 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 4742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8870960).

4742400 is an abundant number, since it is smaller than the sum of its proper divisors (12999520).

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

4742400 is a wasteful number, since it uses less digits than its factorization.

4742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 4742400 is about 2177.7052142106. The cubic root of 4742400 is about 168.0090698051.

Adding to 4742400 its reverse (42474), we get a palindrome (4784874).

The spelling of 4742400 in words is "four million, seven hundred forty-two thousand, four hundred".