385465344 has 264 divisors, whose sum is σ = 1215328464. Its totient is φ = 108134400.

The previous prime is 385465309. The next prime is 385465351. The reversal of 385465344 is 443564583.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 385465296 and 385465305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6319074 + ... + 6319134.

Almost surely, 2^385465344 is an apocalyptic number.

385465344 is a gapful number since it is divisible by the number (34) 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 385465344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607664232).

385465344 is an abundant number, since it is smaller than the sum of its proper divisors (829863120).

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

385465344 is a wasteful number, since it uses less digits than its factorization.

385465344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 94 counting only the distinct ones).

The product of its digits is 691200, while the sum is 42.

The square root of 385465344 is about 19633.2713524772. The cubic root of 385465344 is about 727.7716145485.

The spelling of 385465344 in words is "three hundred eighty-five million, four hundred sixty-five thousand, three hundred forty-four".