383486400 has 420 divisors, whose sum is σ = 1543461480. Its totient is φ = 92620800.

The previous prime is 383486393. The next prime is 383486437. The reversal of 383486400 is 4684383.

383486400 is a `hidden beast` number, since 3 + 8 + 3 + 4 + 8 + 640 + 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 an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1425466 + ... + 1425734.

Almost surely, 2^383486400 is an apocalyptic number.

383486400 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 383486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771730740).

383486400 is an abundant number, since it is smaller than the sum of its proper divisors (1159975080).

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

383486400 is a wasteful number, since it uses less digits than its factorization.

383486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 383486400 is about 19582.8087873012. The cubic root of 383486400 is about 726.5240393793.

The spelling of 383486400 in words is "three hundred eighty-three million, four hundred eighty-six thousand, four hundred".