385382400 has 288 divisors, whose sum is σ = 1379130480. Its totient is φ = 94371840.

The previous prime is 385382399. The next prime is 385382423. The reversal of 385382400 is 4283583.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1996704 + ... + 1996896.

Almost surely, 2^385382400 is an apocalyptic number.

385382400 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 385382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689565240).

385382400 is an abundant number, since it is smaller than the sum of its proper divisors (993748080).

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

385382400 is a wasteful number, since it uses less digits than its factorization.

385382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 385382400 is about 19631.1589061879. The cubic root of 385382400 is about 727.7194104443.

The spelling of 385382400 in words is "three hundred eighty-five million, three hundred eighty-two thousand, four hundred".