463295040 has 112 divisors (see below), whose sum is σ = 1584155328. Its totient is φ = 114038784.

The previous prime is 463295023. The next prime is 463295051. The reversal of 463295040 is 40592364.

It is a junction number, because it is equal to n+sod(n) for n = 463294992 and 463295010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6082 + ... + 31041.

It is an arithmetic number, because the mean of its divisors is an integer number (14144244).

Almost surely, 2^463295040 is an apocalyptic number.

463295040 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 463295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792077664).

463295040 is an abundant number, since it is smaller than the sum of its proper divisors (1120860288).

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

463295040 is a wasteful number, since it uses less digits than its factorization.

463295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37156 (or 37146 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 463295040 is about 21524.2895353134. The cubic root of 463295040 is about 773.7830585371.

The spelling of 463295040 in words is "four hundred sixty-three million, two hundred ninety-five thousand, forty".