14147400 has 192 divisors, whose sum is σ = 49550400. Its totient is φ = 3317760.

The previous prime is 14147347. The next prime is 14147407. The reversal of 14147400 is 474141.

It is a super-3 number, since 3×14147400³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (14147407) 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, 193764 + ... + 193836.

It is an arithmetic number, because the mean of its divisors is an integer number (258075).

Almost surely, 2^14147400 is an apocalyptic number.

14147400 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 14147400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24775200).

14147400 is an abundant number, since it is smaller than the sum of its proper divisors (35403000).

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

14147400 is a wasteful number, since it uses less digits than its factorization.

14147400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 14147400 is about 3761.3029657288. The cubic root of 14147400 is about 241.8571203123.

The spelling of 14147400 in words is "fourteen million, one hundred forty-seven thousand, four hundred".