4716942400 has 189 divisors, whose sum is σ = 12452813677. Its totient is φ = 1758208000.

The previous prime is 4716942397. The next prime is 4716942407. The reversal of 4716942400 is 42496174.

It is a happy number.

The square root of 4716942400 is 68680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 9884736 + 4707057664 = 3144^2 + 68608^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4716942400.

It is not an unprimeable number, because it can be changed into a prime (4716942407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46702350 + ... + 46702450.

Almost surely, 2^4716942400 is an apocalyptic number.

4716942400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4716942400 is the 68680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4716942400

4716942400 is an abundant number, since it is smaller than the sum of its proper divisors (7735871277).

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

4716942400 is a wasteful number, since it uses less digits than its factorization.

4716942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The cubic root of 4716942400 is about 1677.0790134666.

The spelling of 4716942400 in words is "four billion, seven hundred sixteen million, nine hundred forty-two thousand, four hundred".