464040493056 has 600 divisors, whose sum is σ = 1619972877600. Its totient is φ = 131988455424.

The previous prime is 464040493051. The next prime is 464040493061. The reversal of 464040493056 is 650394040464.

It is an interprime number because it is at equal distance from previous prime (464040493051) and next prime (464040493061).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464040493051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2080898961 + ... + 2080899183.

It is an arithmetic number, because the mean of its divisors is an integer number (2699954796).

Almost surely, 2^464040493056 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 464040493056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809986438800).

464040493056 is an abundant number, since it is smaller than the sum of its proper divisors (1155932384544).

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

464040493056 is an frugal number, since it uses more digits than its factorization.

464040493056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 464040493056 in words is "four hundred sixty-four billion, forty million, four hundred ninety-three thousand, fifty-six".