1245960240 has 240 divisors, whose sum is σ = 4541896800. Its totient is φ = 281702400.

The previous prime is 1245960223. The next prime is 1245960241. The reversal of 1245960240 is 420695421.

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 (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1245960241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1187236 + ... + 1188284.

It is an arithmetic number, because the mean of its divisors is an integer number (18924570).

Almost surely, 2^1245960240 is an apocalyptic number.

1245960240 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 1245960240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270948400).

1245960240 is an abundant number, since it is smaller than the sum of its proper divisors (3295936560).

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

1245960240 is a wasteful number, since it uses less digits than its factorization.

1245960240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 1245960240 is about 35298.1619918091. The cubic root of 1245960240 is about 1076.0556394348.

The spelling of 1245960240 in words is "one billion, two hundred forty-five million, nine hundred sixty thousand, two hundred forty".