460488672 has 288 divisors, whose sum is σ = 1594404000. Its totient is φ = 128894976.

The previous prime is 460488661. The next prime is 460488683. The reversal of 460488672 is 276884064.

460488672 is a `hidden beast` number, since 460 + 48 + 86 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (460488661) and next prime (460488683).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3090454 + ... + 3090602.

It is an arithmetic number, because the mean of its divisors is an integer number (5536125).

Almost surely, 2^460488672 is an apocalyptic number.

460488672 is a gapful number since it is divisible by the number (42) 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 460488672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797202000).

460488672 is an abundant number, since it is smaller than the sum of its proper divisors (1133915328).

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

460488672 is a wasteful number, since it uses less digits than its factorization.

460488672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 460488672 is about 21458.9997902978. Note that the first 3 decimals coincide. The cubic root of 460488672 is about 772.2175194909.

The spelling of 460488672 in words is "four hundred sixty million, four hundred eighty-eight thousand, six hundred seventy-two".