4456705500 has 576 divisors, whose sum is σ = 16312907520. Its totient is φ = 1016064000.

The previous prime is 4456705457. The next prime is 4456705541. The reversal of 4456705500 is 55076544.

It is a happy number.

4456705500 is a `hidden beast` number, since 4 + 45 + 67 + 0 + 550 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62770465 + ... + 62770535.

It is an arithmetic number, because the mean of its divisors is an integer number (28321020).

Almost surely, 2^4456705500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4456705500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8156453760).

4456705500 is an abundant number, since it is smaller than the sum of its proper divisors (11856202020).

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

4456705500 is a wasteful number, since it uses less digits than its factorization.

4456705500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 4456705500 is about 66758.5612487267. The cubic root of 4456705500 is about 1645.6519128482.

The spelling of 4456705500 in words is "four billion, four hundred fifty-six million, seven hundred five thousand, five hundred".