5385830400 has 360 divisors, whose sum is σ = 19827967040. Its totient is φ = 1433272320.

The previous prime is 5385830393. The next prime is 5385830419. The reversal of 5385830400 is 40385835.

5385830400 is a `hidden beast` number, since 5 + 38 + 583 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 23 ways as a sum of consecutive naturals, for example, 11058957 + ... + 11059443.

Almost surely, 2^5385830400 is an apocalyptic number.

5385830400 is a gapful number since it is divisible by the number (50) 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 5385830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9913983520).

5385830400 is an abundant number, since it is smaller than the sum of its proper divisors (14442136640).

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

5385830400 is an equidigital number, since it uses as much as digits as its factorization.

5385830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5385830400 is about 73388.2170378869. The cubic root of 5385830400 is about 1752.8747742612.

The spelling of 5385830400 in words is "five billion, three hundred eighty-five million, eight hundred thirty thousand, four hundred".