4833972400 has 120 divisors (see below), whose sum is σ = 12393747920. Its totient is φ = 1806520320.

The previous prime is 4833972391. The next prime is 4833972427. The reversal of 4833972400 is 42793384.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 550444 + ... + 559156.

Almost surely, 2^4833972400 is an apocalyptic number.

4833972400 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 4833972400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6196873960).

4833972400 is an abundant number, since it is smaller than the sum of its proper divisors (7559775520).

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

4833972400 is a wasteful number, since it uses less digits than its factorization.

4833972400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8823 (or 8812 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 4833972400 is about 69526.7746986727. The cubic root of 4833972400 is about 1690.8356219108.

The spelling of 4833972400 in words is "four billion, eight hundred thirty-three million, nine hundred seventy-two thousand, four hundred".