5354798400 has 378 divisors, whose sum is σ = 22142436030. Its totient is φ = 1223792640.

The previous prime is 5354798381. The next prime is 5354798417. The reversal of 5354798400 is 48974535.

5354798400 is a `hidden beast` number, since 535 + 4 + 79 + 8 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 38638656 + 5316159744 = 6216^2 + 72912^2 .

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

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, 701806 + ... + 709394.

Almost surely, 2^5354798400 is an apocalyptic number.

5354798400 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 5354798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11071218015).

5354798400 is an abundant number, since it is smaller than the sum of its proper divisors (16787637630).

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

5354798400 is a wasteful number, since it uses less digits than its factorization.

5354798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7631 (or 7606 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5354798400 is about 73176.4880272345. The cubic root of 5354798400 is about 1749.5017248069.

The spelling of 5354798400 in words is "five billion, three hundred fifty-four million, seven hundred ninety-eight thousand, four hundred".