247504992 has 144 divisors (see below), whose sum is σ = 773563392. Its totient is φ = 67806720.

The previous prime is 247504973. The next prime is 247504993. The reversal of 247504992 is 299405742.

It is a super-2 number, since 2×247504992² = 122517442129840128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247504993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2270634 + ... + 2270742.

It is an arithmetic number, because the mean of its divisors is an integer number (5371968).

Almost surely, 2^247504992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 247504992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386781696).

247504992 is an abundant number, since it is smaller than the sum of its proper divisors (526058400).

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

247504992 is a wasteful number, since it uses less digits than its factorization.

247504992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 247504992 is about 15732.2913779271. The cubic root of 247504992 is about 627.8578389993.

The spelling of 247504992 in words is "two hundred forty-seven million, five hundred four thousand, nine hundred ninety-two".