247484920320 has 960 divisors, whose sum is σ = 978057400320. Its totient is φ = 59268464640.

The previous prime is 247484920271. The next prime is 247484920343. The reversal of 247484920320 is 23029484742.

It is a happy number.

247484920320 is a `hidden beast` number, since 247 + 4 + 84 + 9 + 2 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×247484920320² (a number of 24 digits) 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 95 ways as a sum of consecutive naturals, for example, 1062166924 + ... + 1062167156.

It is an arithmetic number, because the mean of its divisors is an integer number (1018809792).

Almost surely, 2^247484920320 is an apocalyptic number.

247484920320 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 247484920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489028700160).

247484920320 is an abundant number, since it is smaller than the sum of its proper divisors (730572480000).

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

247484920320 is a wasteful number, since it uses less digits than its factorization.

247484920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 247484920320 in words is "two hundred forty-seven billion, four hundred eighty-four million, nine hundred twenty thousand, three hundred twenty".