241390464 has 96 divisors (see below), whose sum is σ = 745936200. Its totient is φ = 68963328.

The previous prime is 241390453. The next prime is 241390489. The reversal of 241390464 is 464093142.

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

It is a super-2 number, since 2×241390464² = 116538712220270592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12402 + ... + 25230.

Almost surely, 2^241390464 is an apocalyptic number.

241390464 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 241390464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372968100).

241390464 is an abundant number, since it is smaller than the sum of its proper divisors (504545736).

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

241390464 is a wasteful number, since it uses less digits than its factorization.

241390464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12860 (or 12841 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 241390464 is about 15536.7456051774. The cubic root of 241390464 is about 622.6443283996.

The spelling of 241390464 in words is "two hundred forty-one million, three hundred ninety thousand, four hundred sixty-four".