464882861520 has 960 divisors, whose sum is σ = 2031856619520. Its totient is φ = 95622405120.

The previous prime is 464882861503. The next prime is 464882861549. The reversal of 464882861520 is 25168288464.

464882861520 is a `hidden beast` number, since 4 + 6 + 488 + 2 + 8 + 6 + 152 + 0 = 666.

It is a super-2 number, since 2×464882861520² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 188439327 + ... + 188441793.

It is an arithmetic number, because the mean of its divisors is an integer number (2116517312).

Almost surely, 2^464882861520 is an apocalyptic number.

464882861520 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 464882861520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015928309760).

464882861520 is an abundant number, since it is smaller than the sum of its proper divisors (1566973758000).

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

464882861520 is a wasteful number, since it uses less digits than its factorization.

464882861520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 464882861520 in words is "four hundred sixty-four billion, eight hundred eighty-two million, eight hundred sixty-one thousand, five hundred twenty".