463342440 has 128 divisors (see below), whose sum is σ = 1525910400. Its totient is φ = 111621120.

The previous prime is 463342427. The next prime is 463342441. The reversal of 463342440 is 44243364.

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

It is a junction number, because it is equal to n+sod(n) for n = 463342398 and 463342407.

It is not an unprimeable number, because it can be changed into a prime (463342441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227346 + ... + 229374.

It is an arithmetic number, because the mean of its divisors is an integer number (11921175).

Almost surely, 2^463342440 is an apocalyptic number.

463342440 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 463342440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762955200).

463342440 is an abundant number, since it is smaller than the sum of its proper divisors (1062567960).

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

463342440 is a wasteful number, since it uses less digits than its factorization.

463342440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 463342440 is about 21525.3905887907. The cubic root of 463342440 is about 773.8094463772.

The spelling of 463342440 in words is "four hundred sixty-three million, three hundred forty-two thousand, four hundred forty".