463553280 has 360 divisors, whose sum is σ = 1762925472. Its totient is φ = 115900416.

The previous prime is 463553227. The next prime is 463553281. The reversal of 463553280 is 82355364.

It is a happy number.

463553280 is a `hidden beast` number, since 46 + 3 + 5 + 532 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 (463553281) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1762429 + ... + 1762691.

Almost surely, 2^463553280 is an apocalyptic number.

463553280 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 463553280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881462736).

463553280 is an abundant number, since it is smaller than the sum of its proper divisors (1299372192).

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

463553280 is a wasteful number, since it uses less digits than its factorization.

463553280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 463553280 is about 21530.2875038862. The cubic root of 463553280 is about 773.9268003607.

The spelling of 463553280 in words is "four hundred sixty-three million, five hundred fifty-three thousand, two hundred eighty".