460224385488 has 240 divisors, whose sum is σ = 1485424676736. Its totient is φ = 130295393280.

The previous prime is 460224385417. The next prime is 460224385499. The reversal of 460224385488 is 884583422064.

460224385488 is a `hidden beast` number, since 4 + 60 + 2 + 2 + 4 + 38 + 548 + 8 = 666.

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, 105240070 + ... + 105244442.

Almost surely, 2^460224385488 is an apocalyptic number.

460224385488 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 460224385488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742712338368).

460224385488 is an abundant number, since it is smaller than the sum of its proper divisors (1025200291248).

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

460224385488 is a wasteful number, since it uses less digits than its factorization.

460224385488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5322 (or 5313 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 460224385488 in words is "four hundred sixty billion, two hundred twenty-four million, three hundred eighty-five thousand, four hundred eighty-eight".