241407264 has 96 divisors (see below), whose sum is σ = 755758080. Its totient is φ = 65970432.

The previous prime is 241407263. The next prime is 241407329. The reversal of 241407264 is 462704142.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×241407264² = 116554934223931392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (241407263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7647 + ... + 23265.

It is an arithmetic number, because the mean of its divisors is an integer number (7872480).

Almost surely, 2^241407264 is an apocalyptic number.

241407264 is a gapful number since it is divisible by the number (24) 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 241407264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377879040).

241407264 is an abundant number, since it is smaller than the sum of its proper divisors (514350816).

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

241407264 is a wasteful number, since it uses less digits than its factorization.

241407264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15662 (or 15654 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 241407264 is about 15537.2862495353. The cubic root of 241407264 is about 622.6587727455.

The spelling of 241407264 in words is "two hundred forty-one million, four hundred seven thousand, two hundred sixty-four".