463780440 has 96 divisors (see below), whose sum is σ = 1510844400. Its totient is φ = 123383040.

The previous prime is 463780439. The next prime is 463780453. The reversal of 463780440 is 44087364.

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 = 463780395 and 463780404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181975 + ... + 184505.

Almost surely, 2^463780440 is an apocalyptic number.

463780440 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 463780440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755422200).

463780440 is an abundant number, since it is smaller than the sum of its proper divisors (1047063960).

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

463780440 is a wasteful number, since it uses less digits than its factorization.

463780440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057 (or 3050 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 463780440 is about 21535.5622169471. The cubic root of 463780440 is about 774.0531982745.

The spelling of 463780440 in words is "four hundred sixty-three million, seven hundred eighty thousand, four hundred forty".