463705482240 has 1760 divisors, whose sum is σ = 2233035028224. Its totient is φ = 88862883840.

The previous prime is 463705482239. The next prime is 463705482263. The reversal of 463705482240 is 42284507364.

It is a happy number.

463705482240 is a `hidden beast` number, since 4 + 6 + 370 + 54 + 8 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 415134162 + ... + 415135278.

Almost surely, 2^463705482240 is an apocalyptic number.

463705482240 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 463705482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116517514112).

463705482240 is an abundant number, since it is smaller than the sum of its proper divisors (1769329545984).

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

463705482240 is a wasteful number, since it uses less digits than its factorization.

463705482240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 463705482240 in words is "four hundred sixty-three billion, seven hundred five million, four hundred eighty-two thousand, two hundred forty".