466972248960 has 512 divisors, whose sum is σ = 1894947840000. Its totient is φ = 106464264192.

The previous prime is 466972248943. The next prime is 466972248989. The reversal of 466972248960 is 69842279664.

466972248960 is a `hidden beast` number, since 4 + 6 + 6 + 97 + 2 + 2 + 489 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49467921 + ... + 49477359.

It is an arithmetic number, because the mean of its divisors is an integer number (3701070000).

Almost surely, 2^466972248960 is an apocalyptic number.

466972248960 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 466972248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947473920000).

466972248960 is an abundant number, since it is smaller than the sum of its proper divisors (1427975591040).

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

466972248960 is a wasteful number, since it uses less digits than its factorization.

466972248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9883 (or 9865 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 466972248960 in words is "four hundred sixty-six billion, nine hundred seventy-two million, two hundred forty-eight thousand, nine hundred sixty".