247482144 has 432 divisors, whose sum is σ = 941129280. Its totient is φ = 60963840.

The previous prime is 247482127. The next prime is 247482173. The reversal of 247482144 is 441284742.

It is a super-2 number, since 2×247482144² = 122494823197673472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 247482099 and 247482108.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3485629 + ... + 3485699.

It is an arithmetic number, because the mean of its divisors is an integer number (2178540).

Almost surely, 2^247482144 is an apocalyptic number.

247482144 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 247482144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470564640).

247482144 is an abundant number, since it is smaller than the sum of its proper divisors (693647136).

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

247482144 is a wasteful number, since it uses less digits than its factorization.

247482144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 115 counting only the distinct ones).

The product of its digits is 57344, while the sum is 36.

The square root of 247482144 is about 15731.5652113831. The cubic root of 247482144 is about 627.8385185306.

The spelling of 247482144 in words is "two hundred forty-seven million, four hundred eighty-two thousand, one hundred forty-four".