247464 has 48 divisors (see below), whose sum is σ = 767520. Its totient is φ = 70560.

The previous prime is 247463. The next prime is 247501. The reversal of 247464 is 464742.

247464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×247464² = 122476862592, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (247463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 259 + ... + 749.

It is an arithmetic number, because the mean of its divisors is an integer number (15990).

2²⁴⁷⁴⁶⁴ is an apocalyptic number.

247464 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 247464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383760).

247464 is an abundant number, since it is smaller than the sum of its proper divisors (520056).

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

247464 is a wasteful number, since it uses less digits than its factorization.

247464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 503 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 247464 is about 497.4575358762. The cubic root of 247464 is about 62.7823174958.

The spelling of 247464 in words is "two hundred forty-seven thousand, four hundred sixty-four".