4732022400 has 384 divisors, whose sum is σ = 18095746560. Its totient is φ = 1064448000.

The previous prime is 4732022381. The next prime is 4732022401. The reversal of 4732022400 is 42202374.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4732022401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4501875 + ... + 4502925.

It is an arithmetic number, because the mean of its divisors is an integer number (47124340).

Almost surely, 2^4732022400 is an apocalyptic number.

4732022400 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 4732022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9047873280).

4732022400 is an abundant number, since it is smaller than the sum of its proper divisors (13363724160).

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

4732022400 is a wasteful number, since it uses less digits than its factorization.

4732022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 4732022400 is about 68789.6969029520. The cubic root of 4732022400 is about 1678.8643118073.

Adding to 4732022400 its reverse (42202374), we get a palindrome (4774224774).

The spelling of 4732022400 in words is "four billion, seven hundred thirty-two million, twenty-two thousand, four hundred".