460941691392 has 1280 divisors, whose sum is σ = 1781885952000. Its totient is φ = 114332663808.

The previous prime is 460941691373. The next prime is 460941691403. The reversal of 460941691392 is 293196149064.

It is a happy number.

460941691392 is a `hidden beast` number, since 4 + 6 + 0 + 94 + 169 + 1 + 392 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2575093159 + ... + 2575093337.

It is an arithmetic number, because the mean of its divisors is an integer number (1392098400).

Almost surely, 2^460941691392 is an apocalyptic number.

460941691392 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 460941691392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890942976000).

460941691392 is an abundant number, since it is smaller than the sum of its proper divisors (1320944260608).

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

460941691392 is a wasteful number, since it uses less digits than its factorization.

460941691392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 460941691392 in words is "four hundred sixty billion, nine hundred forty-one million, six hundred ninety-one thousand, three hundred ninety-two".