4829260800 has 528 divisors, whose sum is σ = 19672685312. Its totient is φ = 1017446400.

The previous prime is 4829260789. The next prime is 4829260829. The reversal of 4829260800 is 80629284.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6988455 + ... + 6989145.

Almost surely, 2^4829260800 is an apocalyptic number.

4829260800 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 4829260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9836342656).

4829260800 is an abundant number, since it is smaller than the sum of its proper divisors (14843424512).

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

4829260800 is a wasteful number, since it uses less digits than its factorization.

4829260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 4829260800 is about 69492.8830888459. The cubic root of 4829260800 is about 1690.2860993409.

The spelling of 4829260800 in words is "four billion, eight hundred twenty-nine million, two hundred sixty thousand, eight hundred".