249929106 has 48 divisors (see below), whose sum is σ = 586691424. Its totient is φ = 70766976.

The previous prime is 249929093. The next prime is 249929107. The reversal of 249929106 is 601929942.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (249929107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29461 + ... + 36983.

It is an arithmetic number, because the mean of its divisors is an integer number (12222738).

Almost surely, 2^249929106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249929106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293345712).

249929106 is an abundant number, since it is smaller than the sum of its proper divisors (336762318).

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

249929106 is a wasteful number, since it uses less digits than its factorization.

249929106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7655 (or 7648 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 249929106 is about 15809.1462767602. The cubic root of 249929106 is about 629.9009720892.

The spelling of 249929106 in words is "two hundred forty-nine million, nine hundred twenty-nine thousand, one hundred six".