248573952 has 156 divisors (see below), whose sum is σ = 784566744. Its totient is φ = 75202560.

The previous prime is 248573951. The next prime is 248573971. The reversal of 248573952 is 259375842.

248573952 is a `hidden beast` number, since 24 + 8 + 573 + 9 + 52 = 666.

It is a super-2 number, since 2×248573952² = 123578019225796608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 248573898 and 248573907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248573951) 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, 405198 + ... + 405810.

It is an arithmetic number, because the mean of its divisors is an integer number (5029274).

Almost surely, 2^248573952 is an apocalyptic number.

248573952 is a gapful number since it is divisible by the number (22) 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 248573952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392283372).

248573952 is an abundant number, since it is smaller than the sum of its proper divisors (535992792).

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

248573952 is a wasteful number, since it uses less digits than its factorization.

248573952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 629 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 248573952 is about 15766.2282109577. The cubic root of 248573952 is about 628.7604349365.

The spelling of 248573952 in words is "two hundred forty-eight million, five hundred seventy-three thousand, nine hundred fifty-two".