247920288 has 144 divisors (see below), whose sum is σ = 817790400. Its totient is φ = 64373760.

The previous prime is 247920271. The next prime is 247920307. The reversal of 247920288 is 882029742.

It is a super-2 number, since 2×247920288² = 122928938404005888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79788 + ... + 82836.

It is an arithmetic number, because the mean of its divisors is an integer number (5679100).

Almost surely, 2^247920288 is an apocalyptic number.

247920288 is a gapful number since it is divisible by the number (28) 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 247920288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408895200).

247920288 is an abundant number, since it is smaller than the sum of its proper divisors (569870112).

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

247920288 is a wasteful number, since it uses less digits than its factorization.

247920288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3091 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 247920288 is about 15745.4846860933. The cubic root of 247920288 is about 628.2088098955.

The spelling of 247920288 in words is "two hundred forty-seven million, nine hundred twenty thousand, two hundred eighty-eight".