460545232896 has 1248 divisors, whose sum is σ = 1717357824000. Its totient is φ = 122903101440.

The previous prime is 460545232883. The next prime is 460545232933. The reversal of 460545232896 is 698232545064.

460545232896 is a `hidden beast` number, since 4 + 6 + 0 + 5 + 4 + 523 + 28 + 96 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6486552541 + ... + 6486552611.

It is an arithmetic number, because the mean of its divisors is an integer number (1376088000).

Almost surely, 2^460545232896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460545232896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858678912000).

460545232896 is an abundant number, since it is smaller than the sum of its proper divisors (1256812591104).

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

460545232896 is an frugal number, since it uses more digits than its factorization.

460545232896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 460545232896 in words is "four hundred sixty billion, five hundred forty-five million, two hundred thirty-two thousand, eight hundred ninety-six".