386006400 has 288 divisors, whose sum is σ = 1484748720. Its totient is φ = 94924800.

The previous prime is 386006393. The next prime is 386006419. The reversal of 386006400 is 4600683.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 373885 + ... + 374915.

Almost surely, 2^386006400 is an apocalyptic number.

386006400 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 386006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742374360).

386006400 is an abundant number, since it is smaller than the sum of its proper divisors (1098742320).

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

386006400 is a wasteful number, since it uses less digits than its factorization.

386006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 386006400 is about 19647.0455794249. The cubic root of 386006400 is about 728.1119660336. Note that the first 3 decimals are identical.

The spelling of 386006400 in words is "three hundred eighty-six million, six thousand, four hundred".