460268697600 has 1440 divisors, whose sum is σ = 1824808986000. Its totient is φ = 114449448960.

The previous prime is 460268697589. The next prime is 460268697617. The reversal of 460268697600 is 6796862064.

460268697600 is a `hidden beast` number, since 4 + 6 + 0 + 26 + 8 + 6 + 9 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 119 ways as a sum of consecutive naturals, for example, 5171558356 + ... + 5171558444.

Almost surely, 2^460268697600 is an apocalyptic number.

460268697600 is a gapful number since it is divisible by the number (40) 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 460268697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912404493000).

460268697600 is an abundant number, since it is smaller than the sum of its proper divisors (1364540288400).

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

460268697600 is a wasteful number, since it uses less digits than its factorization.

460268697600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 460268697600 in words is "four hundred sixty billion, two hundred sixty-eight million, six hundred ninety-seven thousand, six hundred".