463461362130240 has 336 divisors, whose sum is σ = 1598076625655952. Its totient is φ = 123282846056448.

The previous prime is 463461362130191. The next prime is 463461362130329. The reversal of 463461362130240 is 42031263164364.

It is a happy number.

463461362130240 is a `hidden beast` number, since 4 + 6 + 3 + 4 + 6 + 13 + 621 + 3 + 0 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 194459901332544 + 269001460797696 = 13944888^2 + 16401264^2 .

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 47 ways as a sum of consecutive naturals, for example, 1943791512 + ... + 1944029928.

Almost surely, 2^{463461362130240} is an apocalyptic number.

463461362130240 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 463461362130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799038312827976).

463461362130240 is an abundant number, since it is smaller than the sum of its proper divisors (1134615263525712).

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

463461362130240 is a wasteful number, since it uses less digits than its factorization.

463461362130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240114 (or 240101 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 463461362130240 in words is "four hundred sixty-three trillion, four hundred sixty-one billion, three hundred sixty-two million, one hundred thirty thousand, two hundred forty".