383846400 has 648 divisors, whose sum is σ = 1693192410. Its totient is φ = 82575360.

The previous prime is 383846381. The next prime is 383846429. The reversal of 383846400 is 4648383.

383846400 is a `hidden beast` number, since 3 + 8 + 3 + 8 + 4 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 329204736 + 54641664 = 18144^2 + 7392^2 .

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 53 ways as a sum of consecutive naturals, for example, 22579192 + ... + 22579208.

Almost surely, 2^383846400 is an apocalyptic number.

383846400 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 383846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846596205).

383846400 is an abundant number, since it is smaller than the sum of its proper divisors (1309346010).

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

383846400 is a wasteful number, since it uses less digits than its factorization.

383846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 34 counting only the distinct ones).

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

The square root of 383846400 is about 19591.9983666802. The cubic root of 383846400 is about 726.7513111100.

The spelling of 383846400 in words is "three hundred eighty-three million, eight hundred forty-six thousand, four hundred".