460070000 has 100 divisors (see below), whose sum is σ = 1199897160. Its totient is φ = 169824000.

The previous prime is 460069993. The next prime is 460070003. The reversal of 460070000 is 70064.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460070003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 128231 + ... + 131769.

Almost surely, 2^460070000 is an apocalyptic number.

460070000 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 460070000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599948580).

460070000 is an abundant number, since it is smaller than the sum of its proper divisors (739827160).

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

460070000 is a wasteful number, since it uses less digits than its factorization.

460070000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3580 (or 3559 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 460070000 is about 21449.2424108638. The cubic root of 460070000 is about 771.9834175432.

The spelling of 460070000 in words is "four hundred sixty million, seventy thousand".