4205460000 has 960 divisors, whose sum is σ = 18138193920. Its totient is φ = 829440000.

The previous prime is 4205459989. The next prime is 4205460041. The reversal of 4205460000 is 645024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 135659985 + ... + 135660015.

It is an arithmetic number, because the mean of its divisors is an integer number (18893952).

Almost surely, 2^4205460000 is an apocalyptic number.

4205460000 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 4205460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9069096960).

4205460000 is an abundant number, since it is smaller than the sum of its proper divisors (13932733920).

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

4205460000 is a wasteful number, since it uses less digits than its factorization.

4205460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 4205460000 is about 64849.5181169452. The cubic root of 4205460000 is about 1614.1274956904.

The spelling of 4205460000 in words is "four billion, two hundred five million, four hundred sixty thousand".