248115461 has 18 divisors (see below), whose sum is σ = 279463590. Its totient is φ = 220115280.

The previous prime is 248115457. The next prime is 248115463. The reversal of 248115461 is 164511842.

248115461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 139830625 + 108284836 = 11825^2 + 10406^2 .

It is not a de Polignac number, because 248115461 - 2² = 248115457 is a prime.

It is a super-2 number, since 2×248115461² = 123122563974485042, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248115463) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 223175 + ... + 224283.

It is an arithmetic number, because the mean of its divisors is an integer number (15525755).

Almost surely, 2^248115461 is an apocalyptic number.

It is an amenable number.

248115461 is a deficient number, since it is larger than the sum of its proper divisors (31348129).

248115461 is a wasteful number, since it uses less digits than its factorization.

248115461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1163 counting only the distinct ones).

The product of its digits is 7680, while the sum is 32.

The square root of 248115461 is about 15751.6812118580. The cubic root of 248115461 is about 628.3736172196.

The spelling of 248115461 in words is "two hundred forty-eight million, one hundred fifteen thousand, four hundred sixty-one".