463835880 has 96 divisors (see below), whose sum is σ = 1510970760. Its totient is φ = 123402240.

The previous prime is 463835873. The next prime is 463835881. The reversal of 463835880 is 88538364.

463835880 is a `hidden beast` number, since 4 + 63 + 8 + 3 + 588 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 377680356 + 86155524 = 19434^2 + 9282^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (463835881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186324 + ... + 188796.

Almost surely, 2^463835880 is an apocalyptic number.

463835880 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 463835880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755485380).

463835880 is an abundant number, since it is smaller than the sum of its proper divisors (1047134880).

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

463835880 is a wasteful number, since it uses less digits than its factorization.

463835880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 463835880 is about 21536.8493517506. The cubic root of 463835880 is about 774.0840403108.

The spelling of 463835880 in words is "four hundred sixty-three million, eight hundred thirty-five thousand, eight hundred eighty".