463819840 has 224 divisors, whose sum is σ = 1335170304. Its totient is φ = 151388160.

The previous prime is 463819813. The next prime is 463819843. The reversal of 463819840 is 48918364.

It is not an unprimeable number, because it can be changed into a prime (463819843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1376152 + ... + 1376488.

Almost surely, 2^463819840 is an apocalyptic number.

463819840 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 463819840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667585152).

463819840 is an abundant number, since it is smaller than the sum of its proper divisors (871350464).

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

463819840 is a wasteful number, since it uses less digits than its factorization.

463819840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 463819840 is about 21536.4769635147. The cubic root of 463819840 is about 774.0751172903.

The spelling of 463819840 in words is "four hundred sixty-three million, eight hundred nineteen thousand, eight hundred forty".