4933076400 has 360 divisors, whose sum is σ = 20596459520. Its totient is φ = 1068111360.

The previous prime is 4933076383. The next prime is 4933076413. The reversal of 4933076400 is 46703394.

4933076400 is a `hidden beast` number, since 4 + 9 + 3 + 3 + 0 + 7 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 473649 + ... + 483951.

Almost surely, 2^4933076400 is an apocalyptic number.

4933076400 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 4933076400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10298229760).

4933076400 is an abundant number, since it is smaller than the sum of its proper divisors (15663383120).

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

4933076400 is a wasteful number, since it uses less digits than its factorization.

4933076400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10353 (or 10339 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 4933076400 is about 70235.8626344121. The cubic root of 4933076400 is about 1702.3124700454.

Adding to 4933076400 its reverse (46703394), we get a palindrome (4979779794).

The spelling of 4933076400 in words is "four billion, nine hundred thirty-three million, seventy-six thousand, four hundred".