385971600 has 120 divisors (see below), whose sum is σ = 1413054400. Its totient is φ = 88220160.

The previous prime is 385971589. The next prime is 385971611. The reversal of 385971600 is 6179583.

It is an interprime number because it is at equal distance from previous prime (385971589) and next prime (385971611).

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14575 + ... + 31374.

Almost surely, 2^385971600 is an apocalyptic number.

385971600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

385971600 is an abundant number, since it is smaller than the sum of its proper divisors (1027082800).

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

385971600 is a wasteful number, since it uses less digits than its factorization.

385971600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45977 (or 45966 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 385971600 is about 19646.1599301237. The cubic root of 385971600 is about 728.0900846539.

The spelling of 385971600 in words is "three hundred eighty-five million, nine hundred seventy-one thousand, six hundred".