385331520 has 224 divisors, whose sum is σ = 1480889088. Its totient is φ = 82870272.

The previous prime is 385331509. The next prime is 385331561. The reversal of 385331520 is 25133583.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112554 + ... + 115926.

It is an arithmetic number, because the mean of its divisors is an integer number (6611112).

Almost surely, 2^385331520 is an apocalyptic number.

385331520 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 385331520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740444544).

385331520 is an abundant number, since it is smaller than the sum of its proper divisors (1095557568).

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

385331520 is a wasteful number, since it uses less digits than its factorization.

385331520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3417 (or 3407 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 385331520 is about 19629.8629643714. The cubic root of 385331520 is about 727.6873833865.

The spelling of 385331520 in words is "three hundred eighty-five million, three hundred thirty-one thousand, five hundred twenty".