460339488 has 144 divisors (see below), whose sum is σ = 1502504640. Its totient is φ = 130963968.

The previous prime is 460339483. The next prime is 460339499. The reversal of 460339488 is 884933064.

460339488 is a `hidden beast` number, since 4 + 603 + 39 + 4 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (460339483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783931 + ... + 784517.

It is an arithmetic number, because the mean of its divisors is an integer number (10434060).

Almost surely, 2^460339488 is an apocalyptic number.

460339488 is a gapful number since it is divisible by the number (48) 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 460339488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751252320).

460339488 is an abundant number, since it is smaller than the sum of its proper divisors (1042165152).

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

460339488 is a wasteful number, since it uses less digits than its factorization.

460339488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 460339488 is about 21455.5234846414. The cubic root of 460339488 is about 772.1341190018.

The spelling of 460339488 in words is "four hundred sixty million, three hundred thirty-nine thousand, four hundred eighty-eight".