4526985600 has 288 divisors, whose sum is σ = 17005552200. Its totient is φ = 1143521280.

The previous prime is 4526985569. The next prime is 4526985629. The reversal of 4526985600 is 65896254.

4526985600 is a `hidden beast` number, since 452 + 69 + 85 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 543064 + ... + 551336.

Almost surely, 2^4526985600 is an apocalyptic number.

4526985600 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 4526985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8502776100).

4526985600 is an abundant number, since it is smaller than the sum of its proper divisors (12478566600).

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

4526985600 is a wasteful number, since it uses less digits than its factorization.

4526985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8322 (or 8302 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 4526985600 is about 67282.8774652214. The cubic root of 4526985600 is about 1654.2572157462.

The spelling of 4526985600 in words is "four billion, five hundred twenty-six million, nine hundred eighty-five thousand, six hundred".