241976448 has 192 divisors, whose sum is σ = 818301120. Its totient is φ = 67184640.

The previous prime is 241976431. The next prime is 241976459. The reversal of 241976448 is 844679142.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

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, 297963 + ... + 298773.

It is an arithmetic number, because the mean of its divisors is an integer number (4261985).

Almost surely, 2^241976448 is an apocalyptic number.

241976448 is a gapful number since it is divisible by the number (28) 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 241976448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409150560).

241976448 is an abundant number, since it is smaller than the sum of its proper divisors (576324672).

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

241976448 is a wasteful number, since it uses less digits than its factorization.

241976448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 860 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 241976448 is about 15555.5921777347. The cubic root of 241976448 is about 623.1477517315.

The spelling of 241976448 in words is "two hundred forty-one million, nine hundred seventy-six thousand, four hundred forty-eight".