1345420800 has 480 divisors, whose sum is σ = 5251672800. Its totient is φ = 336199680.

The previous prime is 1345420793. The next prime is 1345420807. The reversal of 1345420800 is 80245431.

1345420800 is a `hidden beast` number, since 1 + 3 + 454 + 208 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1345420793) and next prime (1345420807).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345420807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5875086 + ... + 5875314.

It is an arithmetic number, because the mean of its divisors is an integer number (10940985).

Almost surely, 2^1345420800 is an apocalyptic number.

1345420800 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 1345420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625836400).

1345420800 is an abundant number, since it is smaller than the sum of its proper divisors (3906252000).

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

1345420800 is a wasteful number, since it uses less digits than its factorization.

1345420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1345420800 is about 36679.9781897427. The cubic root of 1345420800 is about 1103.9584105316.

The spelling of 1345420800 in words is "one billion, three hundred forty-five million, four hundred twenty thousand, eight hundred".