249992080 has 80 divisors (see below), whose sum is σ = 628959744. Its totient is φ = 91860480.

The previous prime is 249992059. The next prime is 249992081. The reversal of 249992080 is 80299942.

249992080 = T₃₅₆₁ + T₃₅₆₂ + ... + T₃₅₉₉.

It is a happy number.

249992080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (249992081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281397 + ... + 282283.

Almost surely, 2^249992080 is an apocalyptic number.

249992080 is a gapful number since it is divisible by the number (20) 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 249992080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314479872).

249992080 is an abundant number, since it is smaller than the sum of its proper divisors (378967664).

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

249992080 is a wasteful number, since it uses less digits than its factorization.

249992080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 249992080 is about 15811.1378464676. The cubic root of 249992080 is about 629.9538724940.

The spelling of 249992080 in words is "two hundred forty-nine million, nine hundred ninety-two thousand, eighty".