5134449600 has 336 divisors, whose sum is σ = 21392083200. Its totient is φ = 1173519360.

The previous prime is 5134449589. The next prime is 5134449601. The reversal of 5134449600 is 69444315.

5134449600 is a `hidden beast` number, since 5 + 1 + 3 + 4 + 4 + 49 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 (5134449601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 293911 + ... + 310889.

Almost surely, 2^5134449600 is an apocalyptic number.

5134449600 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 5134449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10696041600).

5134449600 is an abundant number, since it is smaller than the sum of its proper divisors (16257633600).

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

5134449600 is a wasteful number, since it uses less digits than its factorization.

5134449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17017 (or 16996 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5134449600 is about 71655.0737910443. The cubic root of 5134449600 is about 1725.1676207626.

The spelling of 5134449600 in words is "five billion, one hundred thirty-four million, four hundred forty-nine thousand, six hundred".