385471476 has 144 divisors (see below), whose sum is σ = 1092755664. Its totient is φ = 113799168.

The previous prime is 385471433. The next prime is 385471483. The reversal of 385471476 is 674174583.

385471476 is a `hidden beast` number, since 38 + 547 + 1 + 4 + 76 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 291600 + 385179876 = 540^2 + 19626^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1956610 + ... + 1956806.

It is an arithmetic number, because the mean of its divisors is an integer number (7588581).

Almost surely, 2^385471476 is an apocalyptic number.

385471476 is a gapful number since it is divisible by the number (36) 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 385471476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546377832).

385471476 is an abundant number, since it is smaller than the sum of its proper divisors (707284188).

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

385471476 is a wasteful number, since it uses less digits than its factorization.

385471476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 365 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 385471476 is about 19633.4275153372. The cubic root of 385471476 is about 727.7754736692.

The spelling of 385471476 in words is "three hundred eighty-five million, four hundred seventy-one thousand, four hundred seventy-six".