460074021120 has 1152 divisors, whose sum is σ = 1951942164480. Its totient is φ = 100421959680.

The previous prime is 460074021103. The next prime is 460074021133. The reversal of 460074021120 is 21120470064.

460074021120 is a `hidden beast` number, since 4 + 600 + 7 + 40 + 2 + 1 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 488919850 + ... + 488920790.

It is an arithmetic number, because the mean of its divisors is an integer number (1694394240).

Almost surely, 2^460074021120 is an apocalyptic number.

460074021120 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 460074021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975971082240).

460074021120 is an abundant number, since it is smaller than the sum of its proper divisors (1491868143360).

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

460074021120 is a wasteful number, since it uses less digits than its factorization.

460074021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 460074021120 its reverse (21120470064), we get a palindrome (481194491184).

The spelling of 460074021120 in words is "four hundred sixty billion, seventy-four million, twenty-one thousand, one hundred twenty".