5294419200 has 540 divisors, whose sum is σ = 22387768480. Its totient is φ = 1209323520.

The previous prime is 5294419187. The next prime is 5294419201. The reversal of 5294419200 is 29144925.

5294419200 is a `hidden beast` number, since 5 + 2 + 9 + 441 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5294419201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3628071 + ... + 3629529.

Almost surely, 2^5294419200 is an apocalyptic number.

5294419200 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 5294419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11193884240).

5294419200 is an abundant number, since it is smaller than the sum of its proper divisors (17093349280).

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

5294419200 is a wasteful number, since it uses less digits than its factorization.

5294419200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5294419200 is about 72762.7597057726. The cubic root of 5294419200 is about 1742.9012241061.

The spelling of 5294419200 in words is "five billion, two hundred ninety-four million, four hundred nineteen thousand, two hundred".