249441920 has 128 divisors (see below), whose sum is σ = 734106240. Its totient is φ = 78925824.

The previous prime is 249441919. The next prime is 249441961. The reversal of 249441920 is 29144942.

It is a happy number.

249441920 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 (128).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56099 + ... + 60381.

It is an arithmetic number, because the mean of its divisors is an integer number (5735205).

Almost surely, 2^249441920 is an apocalyptic number.

249441920 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 249441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367053120).

249441920 is an abundant number, since it is smaller than the sum of its proper divisors (484664320).

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

249441920 is a wasteful number, since it uses less digits than its factorization.

249441920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4322 (or 4310 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 249441920 is about 15793.7304016499. The cubic root of 249441920 is about 629.4914178820.

The spelling of 249441920 in words is "two hundred forty-nine million, four hundred forty-one thousand, nine hundred twenty".