460425280 has 224 divisors, whose sum is σ = 1350971136. Its totient is φ = 145883136.

The previous prime is 460425269. The next prime is 460425281. The reversal of 460425280 is 82524064.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (460425281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4074504 + ... + 4074616.

Almost surely, 2^460425280 is an apocalyptic number.

460425280 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 460425280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675485568).

460425280 is an abundant number, since it is smaller than the sum of its proper divisors (890545856).

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

460425280 is a wasteful number, since it uses less digits than its factorization.

460425280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 460425280 is about 21457.5226901896. The cubic root of 460425280 is about 772.1820827455.

The spelling of 460425280 in words is "four hundred sixty million, four hundred twenty-five thousand, two hundred eighty".