460346814820 has 24 divisors (see below), whose sum is σ = 966814209144. Its totient is φ = 184122364416.

The previous prime is 460346814803. The next prime is 460346814821. The reversal of 460346814820 is 28418643064.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 112001331556 + 348345483264 = 334666^2 + 590208^2 .

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (460346814821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 790597 + ... + 1243276.

It is an arithmetic number, because the mean of its divisors is an integer number (40283925381).

Almost surely, 2^460346814820 is an apocalyptic number.

It is an amenable number.

460346814820 is an abundant number, since it is smaller than the sum of its proper divisors (506467394324).

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

460346814820 is a wasteful number, since it uses less digits than its factorization.

460346814820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045199 (or 2045197 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 46.

The spelling of 460346814820 in words is "four hundred sixty billion, three hundred forty-six million, eight hundred fourteen thousand, eight hundred twenty".