4933392400 has 120 divisors (see below), whose sum is σ = 12082583808. Its totient is φ = 1935360000.

The previous prime is 4933392379. The next prime is 4933392413. The reversal of 4933392400 is 42933394.

It is a super-3 number, since 3×4933392400³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4933392400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7696080 + ... + 7696720.

Almost surely, 2^4933392400 is an apocalyptic number.

4933392400 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 4933392400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6041291904).

4933392400 is an abundant number, since it is smaller than the sum of its proper divisors (7149191408).

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

4933392400 is a wasteful number, since it uses less digits than its factorization.

4933392400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 37.

The square root of 4933392400 is about 70238.1121614185. The cubic root of 4933392400 is about 1702.3488178340.

The spelling of 4933392400 in words is "four billion, nine hundred thirty-three million, three hundred ninety-two thousand, four hundred".