385793280 has 270 divisors, whose sum is σ = 1403440038. Its totient is φ = 101191680.

The previous prime is 385793279. The next prime is 385793299. The reversal of 385793280 is 82397583.

It can be written as a sum of positive squares in 3 ways, for example, as 29942784 + 355850496 = 5472^2 + 18864^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6324450 + ... + 6324510.

Almost surely, 2^385793280 is an apocalyptic number.

385793280 is a gapful number since it is divisible by the number (30) 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 385793280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701720019).

385793280 is an abundant number, since it is smaller than the sum of its proper divisors (1017646758).

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

385793280 is an frugal number, since it uses more digits than its factorization.

385793280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 385793280 is about 19641.6211143582. The cubic root of 385793280 is about 727.9779408040.

Multiplying 385793280 by its sum of digits (45), we get a square (17360697600 = 131760²).

385793280 divided by its sum of digits (45) gives a square (8573184 = 2928²).

The spelling of 385793280 in words is "three hundred eighty-five million, seven hundred ninety-three thousand, two hundred eighty".