5390798400 has 672 divisors, whose sum is σ = 21959011200. Its totient is φ = 1277337600.

The previous prime is 5390798393. The next prime is 5390798411. The reversal of 5390798400 is 48970935.

5390798400 is a `hidden beast` number, since 539 + 0 + 79 + 8 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16286235 + ... + 16286565.

It is an arithmetic number, because the mean of its divisors is an integer number (32677100).

Almost surely, 2^5390798400 is an apocalyptic number.

5390798400 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 5390798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10979505600).

5390798400 is an abundant number, since it is smaller than the sum of its proper divisors (16568212800).

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

5390798400 is a wasteful number, since it uses less digits than its factorization.

5390798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 5390798400 is about 73422.0566315055. The cubic root of 5390798400 is about 1753.4135711311.

The spelling of 5390798400 in words is "five billion, three hundred ninety million, seven hundred ninety-eight thousand, four hundred".