247434880 has 128 divisors (see below), whose sum is σ = 737631360. Its totient is φ = 77107200.

The previous prime is 247434841. The next prime is 247434907. The reversal of 247434880 is 88434742.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×247434880² = 122448039681228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46770 + ... + 51790.

It is an arithmetic number, because the mean of its divisors is an integer number (5762745).

Almost surely, 2^247434880 is an apocalyptic number.

247434880 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 247434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368815680).

247434880 is an abundant number, since it is smaller than the sum of its proper divisors (490196480).

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

247434880 is a wasteful number, since it uses less digits than its factorization.

247434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5058 (or 5046 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 40.

The square root of 247434880 is about 15730.0629369370. The cubic root of 247434880 is about 627.7985479042.

The spelling of 247434880 in words is "two hundred forty-seven million, four hundred thirty-four thousand, eight hundred eighty".