4457006000 has 80 divisors (see below), whose sum is σ = 10800180768. Its totient is φ = 1778976000.

The previous prime is 4457005979. The next prime is 4457006023. The reversal of 4457006000 is 6007544.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1043870 + ... + 1048130.

Almost surely, 2^4457006000 is an apocalyptic number.

4457006000 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 4457006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5400090384).

4457006000 is an abundant number, since it is smaller than the sum of its proper divisors (6343174768).

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

4457006000 is a wasteful number, since it uses less digits than its factorization.

4457006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4807 (or 4791 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 4457006000 is about 66760.8118584548. The cubic root of 4457006000 is about 1645.6888988600.

The spelling of 4457006000 in words is "four billion, four hundred fifty-seven million, six thousand".