460070016 has 160 divisors (see below), whose sum is σ = 1428510000. Its totient is φ = 131185152.

The previous prime is 460070011. The next prime is 460070069. The reversal of 460070016 is 610070064.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (460070011) 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, 921735 + ... + 922233.

Almost surely, 2^460070016 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 460070016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714255000).

460070016 is an abundant number, since it is smaller than the sum of its proper divisors (968439984).

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

460070016 is an frugal number, since it uses more digits than its factorization.

460070016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 460070016 is about 21449.2427838374. The cubic root of 460070016 is about 771.9834264923.

The spelling of 460070016 in words is "four hundred sixty million, seventy thousand, sixteen".