4245393600 has 672 divisors, whose sum is σ = 17990515200. Its totient is φ = 953856000.

The previous prime is 4245393599. The next prime is 4245393601. The reversal of 4245393600 is 63935424.

4245393600 is a `hidden beast` number, since 4 + 2 + 45 + 3 + 9 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (4245393599) and next prime (4245393601).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (4245393601) 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, 30542331 + ... + 30542469.

It is an arithmetic number, because the mean of its divisors is an integer number (26771600).

Almost surely, 2^4245393600 is an apocalyptic number.

4245393600 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 4245393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8995257600).

4245393600 is an abundant number, since it is smaller than the sum of its proper divisors (13745121600).

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

4245393600 is a wasteful number, since it uses less digits than its factorization.

4245393600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 4245393600 is about 65156.6849985479. The cubic root of 4245393600 is about 1619.2204754424.

The spelling of 4245393600 in words is "four billion, two hundred forty-five million, three hundred ninety-three thousand, six hundred".