248057040 has 320 divisors, whose sum is σ = 991936512. Its totient is φ = 49766400.

The previous prime is 248056999. The next prime is 248057053. The reversal of 248057040 is 40750842.

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 = 248056989 and 248057007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 572664 + ... + 573096.

Almost surely, 2^248057040 is an apocalyptic number.

248057040 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 248057040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495968256).

248057040 is an abundant number, since it is smaller than the sum of its proper divisors (743879472).

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

248057040 is a wasteful number, since it uses less digits than its factorization.

248057040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 248057040 is about 15749.8266657129. The cubic root of 248057040 is about 628.3242946226.

The spelling of 248057040 in words is "two hundred forty-eight million, fifty-seven thousand, forty".