385527456 has 36 divisors (see below), whose sum is σ = 1096344522. Its totient is φ = 128509056.

The previous prime is 385527451. The next prime is 385527487. The reversal of 385527456 is 654725583.

385527456 is a `hidden beast` number, since 3 + 85 + 527 + 45 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 334890000 + 50637456 = 18300^2 + 7116^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (385527451) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 669031 + ... + 669606.

Almost surely, 2^385527456 is an apocalyptic number.

385527456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

385527456 is an abundant number, since it is smaller than the sum of its proper divisors (710817066).

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

385527456 is a wasteful number, since it uses less digits than its factorization.

385527456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338653 (or 1338642 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 385527456 is about 19634.8530934153. The cubic root of 385527456 is about 727.8107023018.

The spelling of 385527456 in words is "three hundred eighty-five million, five hundred twenty-seven thousand, four hundred fifty-six".