249341652 has 240 divisors, whose sum is σ = 819624960. Its totient is φ = 64447488.

The previous prime is 249341581. The next prime is 249341663. The reversal of 249341652 is 256143942.

It is a happy number.

249341652 is a `hidden beast` number, since 2 + 493 + 4 + 165 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1118013 + ... + 1118235.

It is an arithmetic number, because the mean of its divisors is an integer number (3415104).

Almost surely, 2^249341652 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249341652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409812480).

249341652 is an abundant number, since it is smaller than the sum of its proper divisors (570283308).

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

249341652 is a wasteful number, since it uses less digits than its factorization.

249341652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 281 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 249341652 is about 15790.5557850254. Note that the first 3 decimals coincide. The cubic root of 249341652 is about 629.4070611648.

The spelling of 249341652 in words is "two hundred forty-nine million, three hundred forty-one thousand, six hundred fifty-two".