463555840 has 216 divisors, whose sum is σ = 1267374024. Its totient is φ = 162201600.

The previous prime is 463555831. The next prime is 463555849. The reversal of 463555840 is 48555364.

It is an interprime number because it is at equal distance from previous prime (463555831) and next prime (463555849).

It can be written as a sum of positive squares in 4 ways, for example, as 2509056 + 461046784 = 1584^2 + 21472^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 463555793 and 463555802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463555849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6350044 + ... + 6350116.

Almost surely, 2^463555840 is an apocalyptic number.

463555840 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 463555840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633687012).

463555840 is an abundant number, since it is smaller than the sum of its proper divisors (803818184).

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

463555840 is a wasteful number, since it uses less digits than its factorization.

463555840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The square root of 463555840 is about 21530.3469549378. The cubic root of 463555840 is about 773.9282250434.

The spelling of 463555840 in words is "four hundred sixty-three million, five hundred fifty-five thousand, eight hundred forty".