464513109504 has 160 divisors (see below), whose sum is σ = 1253754754560. Its totient is φ = 152806981632.

The previous prime is 464513109493. The next prime is 464513109521. The reversal of 464513109504 is 405901315464.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189828409 + ... + 189830855.

It is an arithmetic number, because the mean of its divisors is an integer number (7835967216).

Almost surely, 2^464513109504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464513109504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626877377280).

464513109504 is an abundant number, since it is smaller than the sum of its proper divisors (789241645056).

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

464513109504 is a wasteful number, since it uses less digits than its factorization.

464513109504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4040 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 464513109504 in words is "four hundred sixty-four billion, five hundred thirteen million, one hundred nine thousand, five hundred four".