4285713600 has 1008 divisors, whose sum is σ = 19191646656. Its totient is φ = 884736000.

The previous prime is 4285713599. The next prime is 4285713611. The reversal of 4285713600 is 63175824.

4285713600 is a `hidden beast` number, since 4 + 28 + 571 + 3 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×4285713600² = 36734682122449920000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70257570 + ... + 70257630.

It is an arithmetic number, because the mean of its divisors is an integer number (19039332).

Almost surely, 2^4285713600 is an apocalyptic number.

4285713600 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 4285713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9595823328).

4285713600 is an abundant number, since it is smaller than the sum of its proper divisors (14905933056).

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

4285713600 is a wasteful number, since it uses less digits than its factorization.

4285713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4285713600 is about 65465.3618335681. The cubic root of 4285713600 is about 1624.3304349985.

The spelling of 4285713600 in words is "four billion, two hundred eighty-five million, seven hundred thirteen thousand, six hundred".