13829400 has 192 divisors, whose sum is σ = 51559200. Its totient is φ = 3386880.

The previous prime is 13829399. The next prime is 13829407. The reversal of 13829400 is 492831.

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 (13829407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70102 + ... + 70298.

Almost surely, 2^13829400 is an apocalyptic number.

13829400 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 13829400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25779600).

13829400 is an abundant number, since it is smaller than the sum of its proper divisors (37729800).

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

13829400 is a wasteful number, since it uses less digits than its factorization.

13829400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13829400 is about 3718.7901258339. The cubic root of 13829400 is about 240.0312459319.

The spelling of 13829400 in words is "thirteen million, eight hundred twenty-nine thousand, four hundred".