464289252336 has 1080 divisors, whose sum is σ = 1762772487840. Its totient is φ = 112852776960.

The previous prime is 464289252307. The next prime is 464289252389. The reversal of 464289252336 is 633252982464.

464289252336 is a `hidden beast` number, since 4 + 6 + 4 + 2 + 89 + 2 + 523 + 36 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2027463870 + ... + 2027464098.

It is an arithmetic number, because the mean of its divisors is an integer number (1632196748).

Almost surely, 2^464289252336 is an apocalyptic number.

464289252336 is a gapful number since it is divisible by the number (46) 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 464289252336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881386243920).

464289252336 is an abundant number, since it is smaller than the sum of its proper divisors (1298483235504).

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

464289252336 is a wasteful number, since it uses less digits than its factorization.

464289252336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 308 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 464289252336 in words is "four hundred sixty-four billion, two hundred eighty-nine million, two hundred fifty-two thousand, three hundred thirty-six".