4466007000 has 1152 divisors, whose sum is σ = 20391134400. Its totient is φ = 870912000.

The previous prime is 4466006933. The next prime is 4466007043. The reversal of 4466007000 is 7006644.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 108926980 + ... + 108927020.

Almost surely, 2^4466007000 is an apocalyptic number.

4466007000 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 4466007000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10195567200).

4466007000 is an abundant number, since it is smaller than the sum of its proper divisors (15925127400).

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

4466007000 is a wasteful number, since it uses less digits than its factorization.

4466007000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4466007000 is about 66828.1901595427. The cubic root of 4466007000 is about 1646.7959862450.

The spelling of 4466007000 in words is "four billion, four hundred sixty-six million, seven thousand".