247805952 has 96 divisors (see below), whose sum is σ = 674004240. Its totient is φ = 80936960.

The previous prime is 247805951. The next prime is 247805953. The reversal of 247805952 is 259508742.

It is an interprime number because it is at equal distance from previous prime (247805951) and next prime (247805953).

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

It is a super-2 number, since 2×247805952² = 122815579693252608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247805951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 325252 + ... + 326012.

Almost surely, 2^247805952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 247805952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337002120).

247805952 is an abundant number, since it is smaller than the sum of its proper divisors (426198288).

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

247805952 is an equidigital number, since it uses as much as digits as its factorization.

247805952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 247805952 is about 15741.8535122139. The cubic root of 247805952 is about 628.1122224969.

The spelling of 247805952 in words is "two hundred forty-seven million, eight hundred five thousand, nine hundred fifty-two".