385745400 has 216 divisors, whose sum is σ = 1344601440. Its totient is φ = 99100800.

The previous prime is 385745357. The next prime is 385745401. The reversal of 385745400 is 4547583.

385745400 is a `hidden beast` number, since 38 + 574 + 54 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385745401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1729689 + ... + 1729911.

Almost surely, 2^385745400 is an apocalyptic number.

385745400 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 385745400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672300720).

385745400 is an abundant number, since it is smaller than the sum of its proper divisors (958856040).

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

385745400 is a wasteful number, since it uses less digits than its factorization.

385745400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 385745400 is about 19640.4022362069. The cubic root of 385745400 is about 727.9478236164.

The spelling of 385745400 in words is "three hundred eighty-five million, seven hundred forty-five thousand, four hundred".