249434640 has 560 divisors, whose sum is σ = 1092930048. Its totient is φ = 51508224.

The previous prime is 249434639. The next prime is 249434651. The reversal of 249434640 is 46434942.

249434640 is a `hidden beast` number, since 2 + 4 + 9 + 4 + 3 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a junction number, because it is equal to n+sod(n) for n = 249434595 and 249434604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5307097 + ... + 5307143.

Almost surely, 2^249434640 is an apocalyptic number.

249434640 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 249434640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546465024).

249434640 is an abundant number, since it is smaller than the sum of its proper divisors (843495408).

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

249434640 is a wasteful number, since it uses less digits than its factorization.

249434640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 249434640 is about 15793.4999287682. The cubic root of 249434640 is about 629.4852938885.

The spelling of 249434640 in words is "two hundred forty-nine million, four hundred thirty-four thousand, six hundred forty".