463841280 has 288 divisors, whose sum is σ = 1839801600. Its totient is φ = 105873408.

The previous prime is 463841269. The next prime is 463841309. The reversal of 463841280 is 82148364.

463841280 = T₄₈₀ + T₄₈₁ + ... + T₁₄₂₄.

463841280 is a `hidden beast` number, since 4 + 638 + 4 + 12 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 644761 + ... + 645479.

It is an arithmetic number, because the mean of its divisors is an integer number (6388200).

Almost surely, 2^463841280 is an apocalyptic number.

463841280 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 463841280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919900800).

463841280 is an abundant number, since it is smaller than the sum of its proper divisors (1375960320).

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

463841280 is a wasteful number, since it uses less digits than its factorization.

463841280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 463841280 is about 21536.9747179124. The cubic root of 463841280 is about 774.0870442739.

The spelling of 463841280 in words is "four hundred sixty-three million, eight hundred forty-one thousand, two hundred eighty".