385237440 has 336 divisors, whose sum is σ = 1537728192. Its totient is φ = 86704128.

The previous prime is 385237439. The next prime is 385237441. The reversal of 385237440 is 44732583.

It is a happy number.

385237440 is a `hidden beast` number, since 385 + 237 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (385237439) and next prime (385237441).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 385237395 and 385237404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385237441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1955422 + ... + 1955618.

It is an arithmetic number, because the mean of its divisors is an integer number (4576572).

Almost surely, 2^385237440 is an apocalyptic number.

385237440 is a gapful number since it is divisible by the number (30) 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 385237440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768864096).

385237440 is an abundant number, since it is smaller than the sum of its proper divisors (1152490752).

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

385237440 is a wasteful number, since it uses less digits than its factorization.

385237440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 385237440 is about 19627.4664692109. The cubic root of 385237440 is about 727.6281561169.

The spelling of 385237440 in words is "three hundred eighty-five million, two hundred thirty-seven thousand, four hundred forty".