249120774400 has 243 divisors, whose sum is σ = 656807446659. Its totient is φ = 93531095040.

The previous prime is 249120774361. The next prime is 249120774401. The reversal of 249120774400 is 4477021942.

It is a happy number.

The square root of 249120774400 is 499120.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5827184896 + 243293589504 = 76336^2 + 493248^2 .

It is a super-2 number, since 2×249120774400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (249120774401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 678803017 + ... + 678803383.

Almost surely, 2^249120774400 is an apocalyptic number.

249120774400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

249120774400 is the 499120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249120774400

249120774400 is an abundant number, since it is smaller than the sum of its proper divisors (407686672259).

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

249120774400 is an frugal number, since it uses more digits than its factorization.

249120774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 249120774400 in words is "two hundred forty-nine billion, one hundred twenty million, seven hundred seventy-four thousand, four hundred".