386148400 has 240 divisors, whose sum is σ = 1107072000. Its totient is φ = 127872000.

The previous prime is 386148377. The next prime is 386148401. The reversal of 386148400 is 4841683.

It is a super-2 number, since 2×386148400² = 298221173645120000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (386148401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2591526 + ... + 2591674.

It is an arithmetic number, because the mean of its divisors is an integer number (4612800).

Almost surely, 2^386148400 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 386148400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553536000).

386148400 is an abundant number, since it is smaller than the sum of its proper divisors (720923600).

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

386148400 is a wasteful number, since it uses less digits than its factorization.

386148400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 386148400 is about 19650.6590220277. The cubic root of 386148400 is about 728.2012384943.

The spelling of 386148400 in words is "three hundred eighty-six million, one hundred forty-eight thousand, four hundred".