4729654800 has 720 divisors, whose sum is σ = 19393133760. Its totient is φ = 1097349120.

The previous prime is 4729654789. The next prime is 4729654801. The reversal of 4729654800 is 84569274.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4729654801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24008302 + ... + 24008498.

It is an arithmetic number, because the mean of its divisors is an integer number (26934908).

Almost surely, 2^4729654800 is an apocalyptic number.

4729654800 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 4729654800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9696566880).

4729654800 is an abundant number, since it is smaller than the sum of its proper divisors (14663478960).

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

4729654800 is a wasteful number, since it uses less digits than its factorization.

4729654800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4729654800 is about 68772.4857773805. The cubic root of 4729654800 is about 1678.5842664823.

The spelling of 4729654800 in words is "four billion, seven hundred twenty-nine million, six hundred fifty-four thousand, eight hundred".