5241974400 has 576 divisors, whose sum is σ = 20831256000. Its totient is φ = 1286737920.

The previous prime is 5241974389. The next prime is 5241974407. The reversal of 5241974400 is 44791425.

It is a happy number.

5241974400 is a `hidden beast` number, since 5 + 24 + 197 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×5241974400² = 54956591220510720000, which contains 22 as substring.

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 (5241974407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14601421 + ... + 14601779.

It is an arithmetic number, because the mean of its divisors is an integer number (36165375).

Almost surely, 2^5241974400 is an apocalyptic number.

5241974400 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 5241974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10415628000).

5241974400 is an abundant number, since it is smaller than the sum of its proper divisors (15589281600).

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

5241974400 is a wasteful number, since it uses less digits than its factorization.

5241974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5241974400 is about 72401.4806478431. The cubic root of 5241974400 is about 1737.1272453995.

The spelling of 5241974400 in words is "five billion, two hundred forty-one million, nine hundred seventy-four thousand, four hundred".