1345590400 has 384 divisors, whose sum is σ = 4274012160. Its totient is φ = 406425600.

The previous prime is 1345590391. The next prime is 1345590419. The reversal of 1345590400 is 40955431.

It is a super-2 number, since 2×1345590400² = 3621227049144320000, which contains 22 as substring.

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, 10595137 + ... + 10595263.

It is an arithmetic number, because the mean of its divisors is an integer number (11130240).

Almost surely, 2^1345590400 is an apocalyptic number.

1345590400 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 1345590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137006080).

1345590400 is an abundant number, since it is smaller than the sum of its proper divisors (2928421760).

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

1345590400 is a wasteful number, since it uses less digits than its factorization.

1345590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 1345590400 is about 36682.2900048511. The cubic root of 1345590400 is about 1104.0047958904.

The spelling of 1345590400 in words is "one billion, three hundred forty-five million, five hundred ninety thousand, four hundred".