464404086784 has 133 divisors (see below), whose sum is σ = 1021686989779. Its totient is φ = 211092766720.

The previous prime is 464404086761. The next prime is 464404086793. The reversal of 464404086784 is 487680404464.

It is a happy number.

The square root of 464404086784 is 681472.

The cubic root of 464404086784 is 7744.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 42218553339 + ... + 42218553349.

Almost surely, 2^464404086784 is an apocalyptic number.

464404086784 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

464404086784 is the 681472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464404086784

464404086784 is an abundant number, since it is smaller than the sum of its proper divisors (557282902995).

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

464404086784 is an frugal number, since it uses more digits than its factorization.

464404086784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 13 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 55.

The spelling of 464404086784 in words is "four hundred sixty-four billion, four hundred four million, eighty-six thousand, seven hundred eighty-four".