385676400 has 60 divisors (see below), whose sum is σ = 1235453912. Its totient is φ = 102846720.

The previous prime is 385676377. The next prime is 385676411. The reversal of 385676400 is 4676583.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159499 + ... + 161898.

Almost surely, 2^385676400 is an apocalyptic number.

385676400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

385676400 is an abundant number, since it is smaller than the sum of its proper divisors (849777512).

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

385676400 is a wasteful number, since it uses less digits than its factorization.

385676400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321418 (or 321407 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 385676400 is about 19638.6455744789. The cubic root of 385676400 is about 727.9044172703.

The spelling of 385676400 in words is "three hundred eighty-five million, six hundred seventy-six thousand, four hundred".