463036547304240 has 640 divisors, whose sum is σ = 1859794932172800. Its totient is φ = 92546274263040.

The previous prime is 463036547304229. The next prime is 463036547304269. The reversal of 463036547304240 is 42403745630364.

It is a super-2 number, since 2×463036547304240² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6150084516 + ... + 6150159804.

It is an arithmetic number, because the mean of its divisors is an integer number (2905929581520).

Almost surely, 2^{463036547304240} is an apocalyptic number.

463036547304240 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 463036547304240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929897466086400).

463036547304240 is an abundant number, since it is smaller than the sum of its proper divisors (1396758384868560).

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

463036547304240 is a wasteful number, since it uses less digits than its factorization.

463036547304240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90165 (or 90159 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 51.

The spelling of 463036547304240 in words is "four hundred sixty-three trillion, thirty-six billion, five hundred forty-seven million, three hundred four thousand, two hundred forty".