466502976000 has 400 divisors, whose sum is σ = 1737720218520. Its totient is φ = 124399411200.

The previous prime is 466502975963. The next prime is 466502976013. The reversal of 466502976000 is 679205664.

It can be written as a sum of positive squares in 4 ways, for example, as 74306398464 + 392196577536 = 272592^2 + 626256^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5139006 + ... + 5228994.

Almost surely, 2^466502976000 is an apocalyptic number.

466502976000 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 466502976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868860109260).

466502976000 is an abundant number, since it is smaller than the sum of its proper divisors (1271217242520).

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

466502976000 is an frugal number, since it uses more digits than its factorization.

466502976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90034 (or 89999 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 466502976000 in words is "four hundred sixty-six billion, five hundred two million, nine hundred seventy-six thousand".