464582909952 has 168 divisors, whose sum is σ = 1533769120416. Its totient is φ = 132737826816.

The previous prime is 464582909933. The next prime is 464582909977. The reversal of 464582909952 is 259909285464.

464582909952 is a `hidden beast` number, since 4 + 6 + 458 + 2 + 90 + 9 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 464582909952.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 66003 + ... + 966189.

Almost surely, 2^464582909952 is an apocalyptic number.

464582909952 is a gapful number since it is divisible by the number (42) 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 464582909952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766884560208).

464582909952 is an abundant number, since it is smaller than the sum of its proper divisors (1069186210464).

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

464582909952 is an equidigital number, since it uses as much as digits as its factorization.

464582909952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900226 (or 900199 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 464582909952 in words is "four hundred sixty-four billion, five hundred eighty-two million, nine hundred nine thousand, nine hundred fifty-two".