460741079880 has 960 divisors, whose sum is σ = 1717524103680. Its totient is φ = 110630707200.

The previous prime is 460741079873. The next prime is 460741079881. The reversal of 460741079880 is 88970147064.

It is a happy number.

460741079880 is a `hidden beast` number, since 4 + 60 + 7 + 410 + 7 + 98 + 80 = 666.

460741079880 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (460741079881) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3517107415 + ... + 3517107545.

It is an arithmetic number, because the mean of its divisors is an integer number (1789087608).

Almost surely, 2^460741079880 is an apocalyptic number.

460741079880 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 460741079880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858762051840).

460741079880 is an abundant number, since it is smaller than the sum of its proper divisors (1256783023800).

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

460741079880 is a wasteful number, since it uses less digits than its factorization.

460741079880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 460741079880 in words is "four hundred sixty billion, seven hundred forty-one million, seventy-nine thousand, eight hundred eighty".