1097258240 has 288 divisors, whose sum is σ = 3065803776. Its totient is φ = 373063680.

The previous prime is 1097258213. The next prime is 1097258249. The reversal of 1097258240 is 428527901.

It is a junction number, because it is equal to n+sod(n) for n = 1097258194 and 1097258203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1097258249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17987810 + ... + 17987870.

It is an arithmetic number, because the mean of its divisors is an integer number (10645152).

Almost surely, 2^1097258240 is an apocalyptic number.

1097258240 is a gapful number since it is divisible by the number (10) 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 1097258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532901888).

1097258240 is an abundant number, since it is smaller than the sum of its proper divisors (1968545536).

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

1097258240 is a wasteful number, since it uses less digits than its factorization.

1097258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 1097258240 is about 33124.8885281143. Note that the first 3 decimals coincide. The cubic root of 1097258240 is about 1031.4217460390.

The spelling of 1097258240 in words is "one billion, ninety-seven million, two hundred fifty-eight thousand, two hundred forty".