13449600 has 144 divisors (see below), whose sum is σ = 48094020. Its totient is φ = 3578880.

The previous prime is 13449589. The next prime is 13449607. The reversal of 13449600 is 694431.

13449600 is a `hidden beast` number, since 13 + 4 + 49 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13449607) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28567 + ... + 29033.

Almost surely, 2^13449600 is an apocalyptic number.

13449600 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 13449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24047010).

13449600 is an abundant number, since it is smaller than the sum of its proper divisors (34644420).

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

13449600 is a wasteful number, since it uses less digits than its factorization.

13449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 13449600 is about 3667.3696295847. The cubic root of 13449600 is about 237.8134734181.

The spelling of 13449600 in words is "thirteen million, four hundred forty-nine thousand, six hundred".