464406252080 has 80 divisors (see below), whose sum is σ = 1139199690720. Its totient is φ = 175578845184.

The previous prime is 464406252049. The next prime is 464406252083. The reversal of 464406252080 is 80252604464.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (464406252083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305354 + ... + 1010966.

It is an arithmetic number, because the mean of its divisors is an integer number (14239996134).

Almost surely, 2^464406252080 is an apocalyptic number.

464406252080 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 464406252080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569599845360).

464406252080 is an abundant number, since it is smaller than the sum of its proper divisors (674793438640).

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

464406252080 is a wasteful number, since it uses less digits than its factorization.

464406252080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706078 (or 706072 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 41.

The spelling of 464406252080 in words is "four hundred sixty-four billion, four hundred six million, two hundred fifty-two thousand, eighty".