1345449600 has 576 divisors, whose sum is σ = 5445722880. Its totient is φ = 313344000.

The previous prime is 1345449571. The next prime is 1345449613. The reversal of 1345449600 is 69445431.

1345449600 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 4 + 49 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1345449600² = 3620469252280320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9820732 + ... + 9820868.

It is an arithmetic number, because the mean of its divisors is an integer number (9454380).

Almost surely, 2^1345449600 is an apocalyptic number.

1345449600 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 1345449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722861440).

1345449600 is an abundant number, since it is smaller than the sum of its proper divisors (4100273280).

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

1345449600 is a wasteful number, since it uses less digits than its factorization.

1345449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1345449600 is about 36680.3707723900. The cubic root of 1345449600 is about 1103.9662875654.

The spelling of 1345449600 in words is "one billion, three hundred forty-five million, four hundred forty-nine thousand, six hundred".