460267753248 has 192 divisors, whose sum is σ = 1427675760000. Its totient is φ = 143848783872.

The previous prime is 460267753241. The next prime is 460267753279. The reversal of 460267753248 is 842357762064.

460267753248 is a `hidden beast` number, since 4 + 6 + 0 + 2 + 67 + 7 + 532 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 460267753194 and 460267753203.

It is not an unprimeable number, because it can be changed into a prime (460267753241) 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, 1447828 + ... + 1736876.

It is an arithmetic number, because the mean of its divisors is an integer number (7435811250).

Almost surely, 2^460267753248 is an apocalyptic number.

460267753248 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 460267753248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713837880000).

460267753248 is an abundant number, since it is smaller than the sum of its proper divisors (967408006752).

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

460267753248 is a wasteful number, since it uses less digits than its factorization.

460267753248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289184 (or 289170 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 460267753248 in words is "four hundred sixty billion, two hundred sixty-seven million, seven hundred fifty-three thousand, two hundred forty-eight".