463263840 has 384 divisors, whose sum is σ = 1785732480. Its totient is φ = 111476736.

The previous prime is 463263817. The next prime is 463263851. The reversal of 463263840 is 48362364.

It is a happy number.

It is a super-2 number, since 2×463263840² = 429226770903091200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 463263795 and 463263804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4099624 + ... + 4099736.

It is an arithmetic number, because the mean of its divisors is an integer number (4650345).

Almost surely, 2^463263840 is an apocalyptic number.

463263840 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 463263840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892866240).

463263840 is an abundant number, since it is smaller than the sum of its proper divisors (1322468640).

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

463263840 is a wasteful number, since it uses less digits than its factorization.

463263840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 463263840 is about 21523.5647605131. The cubic root of 463263840 is about 773.7656883437.

The spelling of 463263840 in words is "four hundred sixty-three million, two hundred sixty-three thousand, eight hundred forty".