4800829440 has 192 divisors, whose sum is σ = 16756346880. Its totient is φ = 1163755520.

The previous prime is 4800829433. The next prime is 4800829459. The reversal of 4800829440 is 449280084.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330817 + ... + 345023.

It is an arithmetic number, because the mean of its divisors is an integer number (87272640).

Almost surely, 2^4800829440 is an apocalyptic number.

4800829440 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 4800829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8378173440).

4800829440 is an abundant number, since it is smaller than the sum of its proper divisors (11955517440).

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

4800829440 is a wasteful number, since it uses less digits than its factorization.

4800829440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14248 (or 14228 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 4800829440 is about 69288.0180117746. The cubic root of 4800829440 is about 1686.9624884505.

The spelling of 4800829440 in words is "four billion, eight hundred million, eight hundred twenty-nine thousand, four hundred forty".