466037544960 has 1152 divisors, whose sum is σ = 1867398624000. Its totient is φ = 106529292288.

The previous prime is 466037544953. The next prime is 466037544997. The reversal of 466037544960 is 69445730664.

It is a happy number.

466037544960 is a `hidden beast` number, since 4 + 6 + 6 + 0 + 3 + 7 + 544 + 96 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 466037544897 and 466037544906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1343047507 + ... + 1343047853.

It is an arithmetic number, because the mean of its divisors is an integer number (1621005750).

Almost surely, 2^466037544960 is an apocalyptic number.

466037544960 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 466037544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933699312000).

466037544960 is an abundant number, since it is smaller than the sum of its proper divisors (1401361079040).

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

466037544960 is a wasteful number, since it uses less digits than its factorization.

466037544960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 466037544960 in words is "four hundred sixty-six billion, thirty-seven million, five hundred forty-four thousand, nine hundred sixty".