385417500 has 240 divisors, whose sum is σ = 1249100160. Its totient is φ = 91872000.

The previous prime is 385417481. The next prime is 385417519. The reversal of 385417500 is 5714583.

It is an interprime number because it is at equal distance from previous prime (385417481) and next prime (385417519).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5752467 + ... + 5752533.

It is an arithmetic number, because the mean of its divisors is an integer number (5204584).

Almost surely, 2^385417500 is an apocalyptic number.

385417500 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 385417500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624550080).

385417500 is an abundant number, since it is smaller than the sum of its proper divisors (863682660).

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

385417500 is a wasteful number, since it uses less digits than its factorization.

385417500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 385417500 is about 19632.0528727894. The cubic root of 385417500 is about 727.7415029390.

The spelling of 385417500 in words is "three hundred eighty-five million, four hundred seventeen thousand, five hundred".