247486464 has 144 divisors (see below), whose sum is σ = 741031200. Its totient is φ = 79478784.

The previous prime is 247486439. The next prime is 247486469. The reversal of 247486464 is 464684742.

247486464 is digitally balanced in base 3, 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 (144).

It is a super-2 number, since 2×247486464² = 122499099726446592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247486469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 534297 + ... + 534759.

It is an arithmetic number, because the mean of its divisors is an integer number (5146050).

Almost surely, 2^247486464 is an apocalyptic number.

247486464 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 247486464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370515600).

247486464 is an abundant number, since it is smaller than the sum of its proper divisors (493544736).

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

247486464 is a wasteful number, since it uses less digits than its factorization.

247486464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 497 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The square root of 247486464 is about 15731.7025143498. The cubic root of 247486464 is about 627.8421716516.

The spelling of 247486464 in words is "two hundred forty-seven million, four hundred eighty-six thousand, four hundred sixty-four".