385418496 has 144 divisors (see below), whose sum is σ = 1099999040. Its totient is φ = 119439360.

The previous prime is 385418489. The next prime is 385418507. The reversal of 385418496 is 694814583.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 889896 + ... + 890328.

Almost surely, 2^385418496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385418496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549999520).

385418496 is an abundant number, since it is smaller than the sum of its proper divisors (714580544).

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

385418496 is a wasteful number, since it uses less digits than its factorization.

385418496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 518 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 385418496 is about 19632.0782394529. The cubic root of 385418496 is about 727.7421298175.

The spelling of 385418496 in words is "three hundred eighty-five million, four hundred eighteen thousand, four hundred ninety-six".