463965840 has 480 divisors, whose sum is σ = 1829882880. Its totient is φ = 107827200.

The previous prime is 463965839. The next prime is 463965851. The reversal of 463965840 is 48569364.

463965840 is a `hidden beast` number, since 4 + 63 + 9 + 6 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11316220 + ... + 11316260.

It is an arithmetic number, because the mean of its divisors is an integer number (3812256).

Almost surely, 2^463965840 is an apocalyptic number.

463965840 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 463965840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914941440).

463965840 is an abundant number, since it is smaller than the sum of its proper divisors (1365917040).

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

463965840 is a wasteful number, since it uses less digits than its factorization.

463965840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 463965840 is about 21539.8662948497. The cubic root of 463965840 is about 774.1563292188.

The spelling of 463965840 in words is "four hundred sixty-three million, nine hundred sixty-five thousand, eight hundred forty".