463153360 has 40 divisors (see below), whose sum is σ = 1077732360. Its totient is φ = 185106432.

The previous prime is 463153349. The next prime is 463153373. The reversal of 463153360 is 63351364.

It can be written as a sum of positive squares in 4 ways, for example, as 24167056 + 438986304 = 4916^2 + 20952^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×463153360² = 429022069758579200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170896 + ... + 173584.

It is an arithmetic number, because the mean of its divisors is an integer number (26943309).

Almost surely, 2^463153360 is an apocalyptic number.

463153360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

463153360 is an abundant number, since it is smaller than the sum of its proper divisors (614579000).

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

463153360 is a wasteful number, since it uses less digits than its factorization.

463153360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4855 (or 4849 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 31.

The square root of 463153360 is about 21520.9981181171. The cubic root of 463153360 is about 773.7041737722.

The spelling of 463153360 in words is "four hundred sixty-three million, one hundred fifty-three thousand, three hundred sixty".