4712417600 has 252 divisors, whose sum is σ = 12925060764. Its totient is φ = 1689600000.

The previous prime is 4712417599. The next prime is 4712417603. The reversal of 4712417600 is 67142174.

It can be written as a sum of positive squares in 6 ways, for example, as 368025856 + 4344391744 = 19184^2 + 65912^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4712417603) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19553480 + ... + 19553720.

Almost surely, 2^4712417600 is an apocalyptic number.

4712417600 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 4712417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6462530382).

4712417600 is an abundant number, since it is smaller than the sum of its proper divisors (8212643164).

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

4712417600 is a wasteful number, since it uses less digits than its factorization.

4712417600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 4712417600 is about 68647.0509199048. The cubic root of 4712417600 is about 1676.5425872385.

Adding to 4712417600 its reverse (67142174), we get a palindrome (4779559774).

The spelling of 4712417600 in words is "four billion, seven hundred twelve million, four hundred seventeen thousand, six hundred".