248532540 has 96 divisors (see below), whose sum is σ = 735920640. Its totient is φ = 62496000.

The previous prime is 248532533. The next prime is 248532563. The reversal of 248532540 is 45235842.

248532540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354190 + ... + 354890.

It is an arithmetic number, because the mean of its divisors is an integer number (7665840).

Almost surely, 2^248532540 is an apocalyptic number.

248532540 is a gapful number since it is divisible by the number (20) 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 248532540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367960320).

248532540 is an abundant number, since it is smaller than the sum of its proper divisors (487388100).

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

248532540 is a wasteful number, since it uses less digits than its factorization.

248532540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 248532540 is about 15764.9148427767. The cubic root of 248532540 is about 628.7255161889.

The spelling of 248532540 in words is "two hundred forty-eight million, five hundred thirty-two thousand, five hundred forty".