1248845040 has 240 divisors, whose sum is σ = 4383969408. Its totient is φ = 330386688.

The previous prime is 1248845033. The next prime is 1248845071. The reversal of 1248845040 is 405488421.

1248845040 is a `hidden beast` number, since 124 + 88 + 450 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1248845040² = 3119227867865203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1248844986 and 1248845004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4412739 + ... + 4413021.

Almost surely, 2^1248845040 is an apocalyptic number.

1248845040 is a gapful number since it is divisible by the number (10) 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 1248845040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191984704).

1248845040 is an abundant number, since it is smaller than the sum of its proper divisors (3135124368).

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

1248845040 is a wasteful number, since it uses less digits than its factorization.

1248845040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 1248845040 is about 35339.0016836922. The cubic root of 1248845040 is about 1076.8854713294.

The spelling of 1248845040 in words is "one billion, two hundred forty-eight million, eight hundred forty-five thousand, forty".