1241509248 has 512 divisors, whose sum is σ = 4589184000. Its totient is φ = 322486272.

The previous prime is 1241509231. The next prime is 1241509289. The reversal of 1241509248 is 8429051421.

1241509248 is a `hidden beast` number, since 124 + 1 + 509 + 24 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17006940 + ... + 17007012.

It is an arithmetic number, because the mean of its divisors is an integer number (8963250).

Almost surely, 2^1241509248 is an apocalyptic number.

1241509248 is a gapful number since it is divisible by the number (18) 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 1241509248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294592000).

1241509248 is an abundant number, since it is smaller than the sum of its proper divisors (3347674752).

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

1241509248 is a wasteful number, since it uses less digits than its factorization.

1241509248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1241509248 is about 35235.0570880764. The cubic root of 1241509248 is about 1074.7727655272.

The spelling of 1241509248 in words is "one billion, two hundred forty-one million, five hundred nine thousand, two hundred forty-eight".