464364384 has 96 divisors (see below), whose sum is σ = 1408046976. Its totient is φ = 132433920.

The previous prime is 464364379. The next prime is 464364409. The reversal of 464364384 is 483463464.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×464364384² = 431268562255398912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5019 + ... + 30885.

It is an arithmetic number, because the mean of its divisors is an integer number (14667156).

Almost surely, 2^464364384 is an apocalyptic number.

464364384 is a gapful number since it is divisible by the number (44) 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 464364384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704023488).

464364384 is an abundant number, since it is smaller than the sum of its proper divisors (943682592).

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

464364384 is a wasteful number, since it uses less digits than its factorization.

464364384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25908 (or 25900 counting only the distinct ones).

The product of its digits is 663552, while the sum is 42.

The square root of 464364384 is about 21549.1156199042. The cubic root of 464364384 is about 774.3779310640.

The spelling of 464364384 in words is "four hundred sixty-four million, three hundred sixty-four thousand, three hundred eighty-four".