1245565440 has 240 divisors, whose sum is σ = 4930630848. Its totient is φ = 284663808.

The previous prime is 1245565421. The next prime is 1245565441. The reversal of 1245565440 is 445655421.

1245565440 is a `hidden beast` number, since 12 + 4 + 556 + 54 + 40 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 1245565395 and 1245565404.

It is not an unprimeable number, because it can be changed into a prime (1245565441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157419 + ... + 165141.

Almost surely, 2^1245565440 is an apocalyptic number.

1245565440 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 1245565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465315424).

1245565440 is an abundant number, since it is smaller than the sum of its proper divisors (3685065408).

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

1245565440 is an equidigital number, since it uses as much as digits as its factorization.

1245565440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7759 (or 7740 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 1245565440 is about 35292.5691895617. The cubic root of 1245565440 is about 1075.9419729813.

The spelling of 1245565440 in words is "one billion, two hundred forty-five million, five hundred sixty-five thousand, four hundred forty".