463957760 has 144 divisors (see below), whose sum is σ = 1295372736. Its totient is φ = 155910144.

The previous prime is 463957729. The next prime is 463957783. The reversal of 463957760 is 67759364.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474392 + ... + 475368.

It is an arithmetic number, because the mean of its divisors is an integer number (8995644).

Almost surely, 2^463957760 is an apocalyptic number.

463957760 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 463957760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647686368).

463957760 is an abundant number, since it is smaller than the sum of its proper divisors (831414976).

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

463957760 is an equidigital number, since it uses as much as digits as its factorization.

463957760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 47.

The square root of 463957760 is about 21539.6787348372. The cubic root of 463957760 is about 774.1518351958.

The spelling of 463957760 in words is "four hundred sixty-three million, nine hundred fifty-seven thousand, seven hundred sixty".