248035440 has 80 divisors (see below), whose sum is σ = 814153248. Its totient is φ = 62251008.

The previous prime is 248035393. The next prime is 248035441. The reversal of 248035440 is 44530842.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 248035398 and 248035407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248035441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26317 + ... + 34476.

Almost surely, 2^248035440 is an apocalyptic number.

248035440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248035440 is an abundant number, since it is smaller than the sum of its proper divisors (566117808).

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

248035440 is a wasteful number, since it uses less digits than its factorization.

248035440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60826 (or 60820 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 248035440 is about 15749.1409289523. The cubic root of 248035440 is about 628.3060566147.

The spelling of 248035440 in words is "two hundred forty-eight million, thirty-five thousand, four hundred forty".