386552400 has 240 divisors, whose sum is σ = 1356163200. Its totient is φ = 93542400.

The previous prime is 386552399. The next prime is 386552417. The reversal of 386552400 is 4255683.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 1107426 + ... + 1107774.

It is an arithmetic number, because the mean of its divisors is an integer number (5650680).

Almost surely, 2^386552400 is an apocalyptic number.

386552400 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 386552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678081600).

386552400 is an abundant number, since it is smaller than the sum of its proper divisors (969610800).

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

386552400 is a wasteful number, since it uses less digits than its factorization.

386552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 386552400 is about 19660.9358882023. The cubic root of 386552400 is about 728.4551052823.

It can be divided in two parts, 3865 and 52400, that added together give a palindrome (56265).

The spelling of 386552400 in words is "three hundred eighty-six million, five hundred fifty-two thousand, four hundred".