385146240 has 64 divisors (see below), whose sum is σ = 1227659760. Its totient is φ = 102705152.

The previous prime is 385146233. The next prime is 385146241. The reversal of 385146240 is 42641583.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×385146240² = 296675252372275200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385146241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98379 + ... + 102218.

Almost surely, 2^385146240 is an apocalyptic number.

385146240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

385146240 is an abundant number, since it is smaller than the sum of its proper divisors (842513520).

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

385146240 is a wasteful number, since it uses less digits than its factorization.

385146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200619 (or 200607 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 385146240 is about 19625.1430568034. The cubic root of 385146240 is about 727.5707327218.

The spelling of 385146240 in words is "three hundred eighty-five million, one hundred forty-six thousand, two hundred forty".