460465152 has 352 divisors, whose sum is σ = 1572096000. Its totient is φ = 119218176.

The previous prime is 460465141. The next prime is 460465153. The reversal of 460465152 is 251564064.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (460465153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20020213 + ... + 20020235.

Almost surely, 2^460465152 is an apocalyptic number.

460465152 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 460465152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786048000).

460465152 is an abundant number, since it is smaller than the sum of its proper divisors (1111630848).

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

460465152 is a wasteful number, since it uses less digits than its factorization.

460465152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 460465152 is about 21458.4517614855. The cubic root of 460465152 is about 772.2043719613.

The spelling of 460465152 in words is "four hundred sixty million, four hundred sixty-five thousand, one hundred fifty-two".