463475840 has 64 divisors (see below), whose sum is σ = 1114396920. Its totient is φ = 184320000.

The previous prime is 463475833. The next prime is 463475843. The reversal of 463475840 is 48574364.

It can be written as a sum of positive squares in 4 ways, for example, as 96983104 + 366492736 = 9848^2 + 19144^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (463475843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113840 + ... + 117840.

Almost surely, 2^463475840 is an apocalyptic number.

463475840 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 463475840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557198460).

463475840 is an abundant number, since it is smaller than the sum of its proper divisors (650921080).

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

463475840 is a wasteful number, since it uses less digits than its factorization.

463475840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4201 (or 4189 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 41.

The square root of 463475840 is about 21528.4890319781. The cubic root of 463475840 is about 773.8837012308.

The spelling of 463475840 in words is "four hundred sixty-three million, four hundred seventy-five thousand, eight hundred forty".