385166880 has 384 divisors, whose sum is σ = 1579253760. Its totient is φ = 85847040.

The previous prime is 385166863. The next prime is 385166891. The reversal of 385166880 is 88661583.

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 63 ways as a sum of consecutive naturals, for example, 1421145 + ... + 1421415.

It is an arithmetic number, because the mean of its divisors is an integer number (4112640).

Almost surely, 2^385166880 is an apocalyptic number.

385166880 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 385166880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789626880).

385166880 is an abundant number, since it is smaller than the sum of its proper divisors (1194086880).

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

385166880 is a wasteful number, since it uses less digits than its factorization.

385166880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 385166880 is about 19625.6689057978. The cubic root of 385166880 is about 727.5837293364.

The spelling of 385166880 in words is "three hundred eighty-five million, one hundred sixty-six thousand, eight hundred eighty".