1245145440 has 384 divisors, whose sum is σ = 4981616640. Its totient is φ = 253900800.

The previous prime is 1245145417. The next prime is 1245145463. The reversal of 1245145440 is 445415421.

It is an interprime number because it is at equal distance from previous prime (1245145417) and next prime (1245145463).

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 = 1245145398 and 1245145407.

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, 2180355 + ... + 2180925.

It is an arithmetic number, because the mean of its divisors is an integer number (12972960).

Almost surely, 2^1245145440 is an apocalyptic number.

1245145440 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 1245145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490808320).

1245145440 is an abundant number, since it is smaller than the sum of its proper divisors (3736471200).

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

1245145440 is a wasteful number, since it uses less digits than its factorization.

1245145440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 1245145440 is about 35286.6184268201. The cubic root of 1245145440 is about 1075.8210248517.

The spelling of 1245145440 in words is "one billion, two hundred forty-five million, one hundred forty-five thousand, four hundred forty".