460544404320 has 768 divisors, whose sum is σ = 2164256962560. Its totient is φ = 88335360000.

The previous prime is 460544404301. The next prime is 460544404343. The reversal of 460544404320 is 23404445064.

460544404320 is a `hidden beast` number, since 4 + 605 + 4 + 4 + 4 + 0 + 43 + 2 + 0 = 666.

It is a super-4 number, since 4×460544404320⁴ (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 4271070 + ... + 4377570.

It is an arithmetic number, because the mean of its divisors is an integer number (2818042920).

Almost surely, 2^460544404320 is an apocalyptic number.

460544404320 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 460544404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082128481280).

460544404320 is an abundant number, since it is smaller than the sum of its proper divisors (1703712558240).

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

460544404320 is a wasteful number, since it uses less digits than its factorization.

460544404320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106556 (or 106542 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 460544404320 its reverse (23404445064), we get a palindrome (483948849384).

The spelling of 460544404320 in words is "four hundred sixty billion, five hundred forty-four million, four hundred four thousand, three hundred twenty".