1345252440 has 256 divisors, whose sum is σ = 5013504000. Its totient is φ = 281802240.

The previous prime is 1345252429. The next prime is 1345252481. The reversal of 1345252440 is 442525431.

1345252440 = T₄₉₆ + T₄₉₇ + ... + T₂₀₁₅.

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 = 1345252398 and 1345252407.

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, 493401 + ... + 496119.

It is an arithmetic number, because the mean of its divisors is an integer number (19584000).

Almost surely, 2^1345252440 is an apocalyptic number.

1345252440 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 1345252440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506752000).

1345252440 is an abundant number, since it is smaller than the sum of its proper divisors (3668251560).

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

1345252440 is a wasteful number, since it uses less digits than its factorization.

1345252440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2790 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 1345252440 is about 36677.6831329352. The cubic root of 1345252440 is about 1103.9123604553.

Adding to 1345252440 its reverse (442525431), we get a palindrome (1787777871).

The spelling of 1345252440 in words is "one billion, three hundred forty-five million, two hundred fifty-two thousand, four hundred forty".