4596940800 has 540 divisors, whose sum is σ = 17430733320. Its totient is φ = 1156055040.

The previous prime is 4596940783. The next prime is 4596940801. The reversal of 4596940800 is 80496954.

It is a happy number.

It is a super-2 number, since 2×4596940800² = 42263729437409280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4596940801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 106905579 + ... + 106905621.

Almost surely, 2^4596940800 is an apocalyptic number.

4596940800 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 4596940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8715366660).

4596940800 is an abundant number, since it is smaller than the sum of its proper divisors (12833792520).

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

4596940800 is a wasteful number, since it uses less digits than its factorization.

4596940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 4596940800 is about 67800.7433587568. The cubic root of 4596940800 is about 1662.7347383696.

The spelling of 4596940800 in words is "four billion, five hundred ninety-six million, nine hundred forty thousand, eight hundred".