463662040 has 64 divisors (see below), whose sum is σ = 1082880000. Its totient is φ = 178485120.

The previous prime is 463662011. The next prime is 463662049. The reversal of 463662040 is 40266364.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 463661993 and 463662011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463662049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245821 + ... + 247699.

It is an arithmetic number, because the mean of its divisors is an integer number (16920000).

Almost surely, 2^463662040 is an apocalyptic number.

463662040 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 463662040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541440000).

463662040 is an abundant number, since it is smaller than the sum of its proper divisors (619217960).

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

463662040 is a wasteful number, since it uses less digits than its factorization.

463662040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The square root of 463662040 is about 21532.8131000109. The cubic root of 463662040 is about 773.9873224915.

The spelling of 463662040 in words is "four hundred sixty-three million, six hundred sixty-two thousand, forty".