5354504400 has 240 divisors, whose sum is σ = 20004176000. Its totient is φ = 1223792640.

The previous prime is 5354504381. The next prime is 5354504417. The reversal of 5354504400 is 44054535.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 405096 + ... + 418104.

Almost surely, 2^5354504400 is an apocalyptic number.

5354504400 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 5354504400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10002088000).

5354504400 is an abundant number, since it is smaller than the sum of its proper divisors (14649671600).

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

5354504400 is a wasteful number, since it uses less digits than its factorization.

5354504400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13051 (or 13026 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 5354504400 is about 73174.4791576954. The cubic root of 5354504400 is about 1749.4697059905.

Adding to 5354504400 its reverse (44054535), we get a palindrome (5398558935).

The spelling of 5354504400 in words is "five billion, three hundred fifty-four million, five hundred four thousand, four hundred".