249471936 has 126 divisors (see below), whose sum is σ = 831905880. Its totient is φ = 71269632.

The previous prime is 249471907. The next prime is 249471941. The reversal of 249471936 is 639174942.

It is a happy number.

249471936 is a `hidden beast` number, since 2 + 494 + 71 + 93 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (126).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 249471891 and 249471900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23805 + ... + 32643.

Almost surely, 2^249471936 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 249471936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415952940).

249471936 is an abundant number, since it is smaller than the sum of its proper divisors (582433944).

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

249471936 is a wasteful number, since it uses less digits than its factorization.

249471936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8871 (or 8851 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 249471936 is about 15794.6806235517. The cubic root of 249471936 is about 629.5166663200.

The spelling of 249471936 in words is "two hundred forty-nine million, four hundred seventy-one thousand, nine hundred thirty-six".