464384448 has 168 divisors, whose sum is σ = 1501272080. Its totient is φ = 140659200.

The previous prime is 464384429. The next prime is 464384449. The reversal of 464384448 is 844483464.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464384449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207978 + ... + 210198.

Almost surely, 2^464384448 is an apocalyptic number.

464384448 is a gapful number since it is divisible by the number (48) 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 464384448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750636040).

464384448 is an abundant number, since it is smaller than the sum of its proper divisors (1036887632).

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

464384448 is a wasteful number, since it uses less digits than its factorization.

464384448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2237 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 45.

The square root of 464384448 is about 21549.5811560225. The cubic root of 464384448 is about 774.3890838682.

The spelling of 464384448 in words is "four hundred sixty-four million, three hundred eighty-four thousand, four hundred forty-eight".