464251165560 has 768 divisors, whose sum is σ = 1909138533120. Its totient is φ = 95219712000.

The previous prime is 464251165523. The next prime is 464251165579. The reversal of 464251165560 is 65561152464.

464251165560 is a `hidden beast` number, since 4 + 6 + 4 + 25 + 1 + 1 + 65 + 560 = 666.

It is a super-2 number, since 2×464251165560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 565469950 + ... + 565470770.

It is an arithmetic number, because the mean of its divisors is an integer number (2485857465).

Almost surely, 2^464251165560 is an apocalyptic number.

464251165560 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 464251165560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954569266560).

464251165560 is an abundant number, since it is smaller than the sum of its proper divisors (1444887367560).

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

464251165560 is a wasteful number, since it uses less digits than its factorization.

464251165560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 464251165560 in words is "four hundred sixty-four billion, two hundred fifty-one million, one hundred sixty-five thousand, five hundred sixty".