385552440 has 256 divisors, whose sum is σ = 1582156800. Its totient is φ = 81326592.

The previous prime is 385552429. The next prime is 385552459. The reversal of 385552440 is 44255583.

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 = 385552395 and 385552404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96319 + ... + 100241.

It is an arithmetic number, because the mean of its divisors is an integer number (6180300).

Almost surely, 2^385552440 is an apocalyptic number.

385552440 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 385552440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791078400).

385552440 is an abundant number, since it is smaller than the sum of its proper divisors (1196604360).

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

385552440 is a wasteful number, since it uses less digits than its factorization.

385552440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3963 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 385552440 is about 19635.4892987162. The cubic root of 385552440 is about 727.8264238192.

The spelling of 385552440 in words is "three hundred eighty-five million, five hundred fifty-two thousand, four hundred forty".