247979520 has 240 divisors, whose sum is σ = 880925760. Its totient is φ = 64438272.

The previous prime is 247979483. The next prime is 247979539. The reversal of 247979520 is 25979742.

247979520 is digitally balanced in base 2, 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 (240).

It is a super-2 number, since 2×247979520² = 122987684678860800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1082766 + ... + 1082994.

It is an arithmetic number, because the mean of its divisors is an integer number (3670524).

Almost surely, 2^247979520 is an apocalyptic number.

247979520 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 247979520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440462880).

247979520 is an abundant number, since it is smaller than the sum of its proper divisors (632946240).

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

247979520 is a wasteful number, since it uses less digits than its factorization.

247979520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 247979520 is about 15747.3654939485. The cubic root of 247979520 is about 628.2588355195.

The spelling of 247979520 in words is "two hundred forty-seven million, nine hundred seventy-nine thousand, five hundred twenty".