4829906400 has 288 divisors, whose sum is σ = 18055094400. Its totient is φ = 1109145600.

The previous prime is 4829906387. The next prime is 4829906453. The reversal of 4829906400 is 46099284.

It is a congruent number.

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, 496786 + ... + 506414.

It is an arithmetic number, because the mean of its divisors is an integer number (62691300).

Almost surely, 2^4829906400 is an apocalyptic number.

4829906400 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 4829906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9027547200).

4829906400 is an abundant number, since it is smaller than the sum of its proper divisors (13225188000).

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

4829906400 is a wasteful number, since it uses less digits than its factorization.

4829906400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9682 (or 9669 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 4829906400 is about 69497.5280135920. The cubic root of 4829906400 is about 1690.3614179819.

The spelling of 4829906400 in words is "four billion, eight hundred twenty-nine million, nine hundred six thousand, four hundred".