466255802880 has 640 divisors, whose sum is σ = 1916305205760. Its totient is φ = 106563796992.

The previous prime is 466255802879. The next prime is 466255802899. The reversal of 466255802880 is 88208552664.

It is a happy number.

466255802880 is a `hidden beast` number, since 4 + 6 + 6 + 2 + 558 + 0 + 2 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×466255802880³ (a number of 36 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39185092 + ... + 39196988.

It is an arithmetic number, because the mean of its divisors is an integer number (2994226884).

Almost surely, 2^466255802880 is an apocalyptic number.

466255802880 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 466255802880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958152602880).

466255802880 is an abundant number, since it is smaller than the sum of its proper divisors (1450049402880).

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

466255802880 is an frugal number, since it uses more digits than its factorization.

466255802880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11948 (or 11914 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 466255802880 in words is "four hundred sixty-six billion, two hundred fifty-five million, eight hundred two thousand, eight hundred eighty".