463562015400240 has 160 divisors (see below), whose sum is σ = 1444697076326400. Its totient is φ = 122958175011840.

The previous prime is 463562015400233. The next prime is 463562015400259. The reversal of 463562015400240 is 42004510265364.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 463562015400192 and 463562015400201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 511075446 + ... + 511981674.

It is an arithmetic number, because the mean of its divisors is an integer number (9029356727040).

Almost surely, 2^{463562015400240} is an apocalyptic number.

463562015400240 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 463562015400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722348538163200).

463562015400240 is an abundant number, since it is smaller than the sum of its proper divisors (981135060926160).

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

463562015400240 is a wasteful number, since it uses less digits than its factorization.

463562015400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917595 (or 917589 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 463562015400240 in words is "four hundred sixty-three trillion, five hundred sixty-two billion, fifteen million, four hundred thousand, two hundred forty".