464697360 has 120 divisors (see below), whose sum is σ = 1564803864. Its totient is φ = 123586560.

The previous prime is 464697353. The next prime is 464697361. The reversal of 464697360 is 63796464.

464697360 is a `hidden beast` number, since 464 + 69 + 73 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34715664 + 429981696 = 5892^2 + 20736^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (464697361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388924 + ... + 390116.

Almost surely, 2^464697360 is an apocalyptic number.

464697360 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 464697360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782401932).

464697360 is an abundant number, since it is smaller than the sum of its proper divisors (1100106504).

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

464697360 is a wasteful number, since it uses less digits than its factorization.

464697360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 464697360 is about 21556.8402137233. The cubic root of 464697360 is about 774.5629780289.

The spelling of 464697360 in words is "four hundred sixty-four million, six hundred ninety-seven thousand, three hundred sixty".