462049570048 has 216 divisors, whose sum is σ = 1038243565800. Its totient is φ = 204993085440.

The previous prime is 462049569979. The next prime is 462049570061. The reversal of 462049570048 is 840075940264.

It can be written as a sum of positive squares in 4 ways, for example, as 368050915584 + 93998654464 = 606672^2 + 306592^2 .

It is a junction number, because it is equal to n+sod(n) for n = 462049569983 and 462049570010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 375955098 + ... + 375956326.

It is an arithmetic number, because the mean of its divisors is an integer number (4806683175).

Almost surely, 2^462049570048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462049570048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519121782900).

462049570048 is an abundant number, since it is smaller than the sum of its proper divisors (576193995752).

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

462049570048 is a wasteful number, since it uses less digits than its factorization.

462049570048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 49.

The spelling of 462049570048 in words is "four hundred sixty-two billion, forty-nine million, five hundred seventy thousand, forty-eight".