385145280 has 392 divisors, whose sum is σ = 1492495872. Its totient is φ = 94058496.

The previous prime is 385145269. The next prime is 385145291. The reversal of 385145280 is 82541583.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (385145269) and next prime (385145291).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3032577 + ... + 3032703.

Almost surely, 2^385145280 is an apocalyptic number.

385145280 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 385145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746247936).

385145280 is an abundant number, since it is smaller than the sum of its proper divisors (1107350592).

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

385145280 is a wasteful number, since it uses less digits than its factorization.

385145280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 385145280 is about 19625.1185983678. The cubic root of 385145280 is about 727.5701282168.

The spelling of 385145280 in words is "three hundred eighty-five million, one hundred forty-five thousand, two hundred eighty".