385242000 has 320 divisors, whose sum is σ = 1462406400. Its totient is φ = 86016000.

The previous prime is 385241993. The next prime is 385242007. The reversal of 385242000 is 242583.

It is an interprime number because it is at equal distance from previous prime (385241993) and next prime (385242007).

It is a super-2 number, since 2×385242000² = 296822797128000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (385242007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 857776 + ... + 858224.

It is an arithmetic number, because the mean of its divisors is an integer number (4570020).

Almost surely, 2^385242000 is an apocalyptic number.

385242000 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 385242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731203200).

385242000 is an abundant number, since it is smaller than the sum of its proper divisors (1077164400).

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

385242000 is a wasteful number, since it uses less digits than its factorization.

385242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 385242000 is about 19627.5826326117. The cubic root of 385242000 is about 727.6310270487.

Adding to 385242000 its reverse (242583), we get a palindrome (385484583).

The spelling of 385242000 in words is "three hundred eighty-five million, two hundred forty-two thousand".