463165440 has 96 divisors (see below), whose sum is σ = 1481865840. Its totient is φ = 123502592.

The previous prime is 463165433. The next prime is 463165477. The reversal of 463165440 is 44561364.

It is a tau number, because it is divible by the number of its divisors (96).

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, 23182 + ... + 38258.

Almost surely, 2^463165440 is an apocalyptic number.

463165440 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 463165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740932920).

463165440 is an abundant number, since it is smaller than the sum of its proper divisors (1018700400).

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

463165440 is a wasteful number, since it uses less digits than its factorization.

463165440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15107 (or 15087 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 463165440 is about 21521.2787724150. The cubic root of 463165440 is about 773.7109003168.

The spelling of 463165440 in words is "four hundred sixty-three million, one hundred sixty-five thousand, four hundred forty".