247998240 has 384 divisors, whose sum is σ = 1016064000. Its totient is φ = 55323648.

The previous prime is 247998229. The next prime is 247998253. The reversal of 247998240 is 42899742.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1784091 + ... + 1784229.

It is an arithmetic number, because the mean of its divisors is an integer number (2646000).

Almost surely, 2^247998240 is an apocalyptic number.

247998240 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 247998240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508032000).

247998240 is an abundant number, since it is smaller than the sum of its proper divisors (768065760).

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

247998240 is a wasteful number, since it uses less digits than its factorization.

247998240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 247998240 is about 15747.9598678686. The cubic root of 247998240 is about 628.2746442302.

The spelling of 247998240 in words is "two hundred forty-seven million, nine hundred ninety-eight thousand, two hundred forty".