463532160 has 384 divisors, whose sum is σ = 1855828800. Its totient is φ = 97542144.

The previous prime is 463532159. The next prime is 463532171. The reversal of 463532160 is 61235364.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 1222851 + ... + 1223229.

Almost surely, 2^463532160 is an apocalyptic number.

463532160 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 463532160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927914400).

463532160 is an abundant number, since it is smaller than the sum of its proper divisors (1392296640).

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

463532160 is a wasteful number, since it uses less digits than its factorization.

463532160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 463532160 is about 21529.7970264469. The cubic root of 463532160 is about 773.9150465286.

The spelling of 463532160 in words is "four hundred sixty-three million, five hundred thirty-two thousand, one hundred sixty".