247520020 has 72 divisors (see below), whose sum is σ = 596316672. Its totient is φ = 86074560.

The previous prime is 247519999. The next prime is 247520029. The reversal of 247520020 is 20025742.

It is a super-2 number, since 2×247520020² = 122532320601600800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 247519973 and 247520000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247520029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53437 + ... + 57883.

It is an arithmetic number, because the mean of its divisors is an integer number (8282176).

Almost surely, 2^247520020 is an apocalyptic number.

247520020 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 247520020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298158336).

247520020 is an abundant number, since it is smaller than the sum of its proper divisors (348796652).

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

247520020 is a wasteful number, since it uses less digits than its factorization.

247520020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4501 (or 4488 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 247520020 is about 15732.7689870537. The cubic root of 247520020 is about 627.8705461594.

Adding to 247520020 its reverse (20025742), we get a palindrome (267545762).

The spelling of 247520020 in words is "two hundred forty-seven million, five hundred twenty thousand, twenty".