249629445 has 80 divisors (see below), whose sum is σ = 510436080. Its totient is φ = 115623936.

The previous prime is 249629431. The next prime is 249629449. The reversal of 249629445 is 544926942.

It can be written as a sum of positive squares in 8 ways, for example, as 715716 + 248913729 = 846^2 + 15777^2 .

It is not a de Polignac number, because 249629445 - 2¹⁷ = 249498373 is a prime.

It is a super-2 number, since 2×249629445² = 124629719622016050, which contains 22 as substring.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 249629445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249629449) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 88111 + ... + 90899.

It is an arithmetic number, because the mean of its divisors is an integer number (6380451).

Almost surely, 2^249629445 is an apocalyptic number.

It is an amenable number.

249629445 is an abundant number, since it is smaller than the sum of its proper divisors (260806635).

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

249629445 is a wasteful number, since it uses less digits than its factorization.

249629445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836 (or 2827 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 249629445 is about 15799.6659774819. The cubic root of 249629445 is about 629.6491243456.

The spelling of 249629445 in words is "two hundred forty-nine million, six hundred twenty-nine thousand, four hundred forty-five".