249740064 has 288 divisors, whose sum is σ = 899760960. Its totient is φ = 66963456.

The previous prime is 249740053. The next prime is 249740107. The reversal of 249740064 is 460047942.

249740064 is a `hidden beast` number, since 249 + 7 + 400 + 6 + 4 = 666.

249740064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 719539 + ... + 719885.

It is an arithmetic number, because the mean of its divisors is an integer number (3124170).

Almost surely, 2^249740064 is an apocalyptic number.

249740064 is a gapful number since it is divisible by the number (24) 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 249740064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449880480).

249740064 is an abundant number, since it is smaller than the sum of its proper divisors (650020896).

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

249740064 is a wasteful number, since it uses less digits than its factorization.

249740064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 249740064 is about 15803.1662650242. The cubic root of 249740064 is about 629.7421166750.

The spelling of 249740064 in words is "two hundred forty-nine million, seven hundred forty thousand, sixty-four".