247578240 has 384 divisors, whose sum is σ = 985564800. Its totient is φ = 51757056.

The previous prime is 247578209. The next prime is 247578257. The reversal of 247578240 is 42875742.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×247578240² = 122589969842995200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2271306 + ... + 2271414.

It is an arithmetic number, because the mean of its divisors is an integer number (2566575).

Almost surely, 2^247578240 is an apocalyptic number.

247578240 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 247578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492782400).

247578240 is an abundant number, since it is smaller than the sum of its proper divisors (737986560).

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

247578240 is a wasteful number, since it uses less digits than its factorization.

247578240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 39.

The square root of 247578240 is about 15734.6191564969. The cubic root of 247578240 is about 627.9197701340.

The spelling of 247578240 in words is "two hundred forty-seven million, five hundred seventy-eight thousand, two hundred forty".