466226953920 has 1344 divisors, whose sum is σ = 2098020427776. Its totient is φ = 95909806080.

The previous prime is 466226953919. The next prime is 466226953937. The reversal of 466226953920 is 29359622664.

466226953920 is a `hidden beast` number, since 4 + 6 + 6 + 22 + 69 + 539 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

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 191 ways as a sum of consecutive naturals, for example, 290121757 + ... + 290123363.

It is an arithmetic number, because the mean of its divisors is an integer number (1561027104).

Almost surely, 2^466226953920 is an apocalyptic number.

466226953920 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 466226953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049010213888).

466226953920 is an abundant number, since it is smaller than the sum of its proper divisors (1631793473856).

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

466226953920 is a wasteful number, since it uses less digits than its factorization.

466226953920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 466226953920 in words is "four hundred sixty-six billion, two hundred twenty-six million, nine hundred fifty-three thousand, nine hundred twenty".