4703940800 has 336 divisors, whose sum is σ = 13500823392. Its totient is φ = 1597440000.

The previous prime is 4703940797. The next prime is 4703940803. The reversal of 4703940800 is 80493074.

It is an interprime number because it is at equal distance from previous prime (4703940797) and next prime (4703940803).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4703940803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18740675 + ... + 18740925.

It is an arithmetic number, because the mean of its divisors is an integer number (40181022).

Almost surely, 2^4703940800 is an apocalyptic number.

4703940800 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 4703940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6750411696).

4703940800 is an abundant number, since it is smaller than the sum of its proper divisors (8796882592).

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

4703940800 is a wasteful number, since it uses less digits than its factorization.

4703940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 4703940800 is about 68585.2812198069. The cubic root of 4703940800 is about 1675.5367166935.

The spelling of 4703940800 in words is "four billion, seven hundred three million, nine hundred forty thousand, eight hundred".