4753382400 has 792 divisors, whose sum is σ = 19651363760. Its totient is φ = 1119191040.

The previous prime is 4753382369. The next prime is 4753382419. The reversal of 4753382400 is 42833574.

It is a happy number.

4753382400 is a `hidden beast` number, since 4 + 7 + 533 + 82 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 206668789 + ... + 206668811.

Almost surely, 2^4753382400 is an apocalyptic number.

4753382400 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 4753382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9825681880).

4753382400 is an abundant number, since it is smaller than the sum of its proper divisors (14897981360).

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

4753382400 is a wasteful number, since it uses less digits than its factorization.

4753382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 4753382400 is about 68944.7779023183. Note that the first 3 decimals coincide. The cubic root of 4753382400 is about 1681.3866103299.

The spelling of 4753382400 in words is "four billion, seven hundred fifty-three million, three hundred eighty-two thousand, four hundred".