4247229600 has 576 divisors, whose sum is σ = 16498944000. Its totient is φ = 1051315200.

The previous prime is 4247229599. The next prime is 4247229601. The reversal of 4247229600 is 69227424.

4247229600 is a `hidden beast` number, since 4 + 2 + 47 + 2 + 2 + 9 + 600 = 666.

4247229600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4247229599) and next prime (4247229601).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4247229601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32421535 + ... + 32421665.

It is an arithmetic number, because the mean of its divisors is an integer number (28644000).

Almost surely, 2^4247229600 is an apocalyptic number.

4247229600 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 4247229600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8249472000).

4247229600 is an abundant number, since it is smaller than the sum of its proper divisors (12251714400).

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

4247229600 is a wasteful number, since it uses less digits than its factorization.

4247229600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4247229600 is about 65170.7725901727. The cubic root of 4247229600 is about 1619.4538625450.

The spelling of 4247229600 in words is "four billion, two hundred forty-seven million, two hundred twenty-nine thousand, six hundred".