463519440 has 240 divisors, whose sum is σ = 1692986880. Its totient is φ = 113218560.

The previous prime is 463519429. The next prime is 463519451. The reversal of 463519440 is 44915364.

463519440 is a `hidden beast` number, since 4 + 635 + 19 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (463519429) and next prime (463519451).

It is a tau number, because it is divible by the number of its divisors (240).

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 = 463519395 and 463519404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423534 + ... + 424626.

It is an arithmetic number, because the mean of its divisors is an integer number (7054112).

Almost surely, 2^463519440 is an apocalyptic number.

463519440 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 463519440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846493440).

463519440 is an abundant number, since it is smaller than the sum of its proper divisors (1229467440).

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

463519440 is a wasteful number, since it uses less digits than its factorization.

463519440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 463519440 is about 21529.5016198703. The cubic root of 463519440 is about 773.9079673438.

The spelling of 463519440 in words is "four hundred sixty-three million, five hundred nineteen thousand, four hundred forty".