464191560 has 320 divisors, whose sum is σ = 1810005120. Its totient is φ = 104509440.

The previous prime is 464191537. The next prime is 464191561. The reversal of 464191560 is 65191464.

464191560 is a `hidden beast` number, since 4 + 6 + 4 + 1 + 91 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (464191561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2199855 + ... + 2200065.

It is an arithmetic number, because the mean of its divisors is an integer number (5656266).

Almost surely, 2^464191560 is an apocalyptic number.

464191560 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 464191560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905002560).

464191560 is an abundant number, since it is smaller than the sum of its proper divisors (1345813560).

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

464191560 is a wasteful number, since it uses less digits than its factorization.

464191560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 464191560 is about 21545.1052445793. The cubic root of 464191560 is about 774.2818515610.

The spelling of 464191560 in words is "four hundred sixty-four million, one hundred ninety-one thousand, five hundred sixty".