464883966976 has 297 divisors, whose sum is σ = 1113570024483. Its totient is φ = 193747107840.

The previous prime is 464883966973. The next prime is 464883967003. The reversal of 464883966976 is 679669388464.

The square root of 464883966976 is 681824.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 251602560000 + 213281406976 = 501600^2 + 461824^2 .

It is a super-2 number, since 2×464883966976² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (464883966973) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 3120026550 + ... + 3120026698.

Almost surely, 2^464883966976 is an apocalyptic number.

464883966976 is the 681824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464883966976

464883966976 is an abundant number, since it is smaller than the sum of its proper divisors (648686057507).

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

464883966976 is a wasteful number, since it uses less digits than its factorization.

464883966976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 175 counting only the distinct ones).

The product of its digits is 2257403904, while the sum is 76.

The spelling of 464883966976 in words is "four hundred sixty-four billion, eight hundred eighty-three million, nine hundred sixty-six thousand, nine hundred seventy-six".