249380384400 has 1215 divisors, whose sum is σ = 1068673470033. Its totient is φ = 53693337600.

The previous prime is 249380384369. The next prime is 249380384401. The reversal of 249380384400 is 4483083942.

The square root of 249380384400 is 499380.

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

249380384400 is a `hidden beast` number, since 2 + 4 + 93 + 80 + 3 + 84 + 400 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 246702942864 + 2677441536 = 496692^2 + 51744^2 .

It is a super-2 number, since 2×249380384400² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (249380384401) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 6082448380 + ... + 6082448420.

Almost surely, 2^249380384400 is an apocalyptic number.

249380384400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

249380384400 is the 499380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249380384400

249380384400 is an abundant number, since it is smaller than the sum of its proper divisors (819293085633).

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

249380384400 is a wasteful number, since it uses less digits than its factorization.

249380384400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 249380384400 in words is "two hundred forty-nine billion, three hundred eighty million, three hundred eighty-four thousand, four hundred".