14975400 has 96 divisors (see below), whose sum is σ = 50666400. Its totient is φ = 3628800.

The previous prime is 14975393. The next prime is 14975423. The reversal of 14975400 is 457941.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5466 + ... + 7734.

It is an arithmetic number, because the mean of its divisors is an integer number (527775).

Almost surely, 2^14975400 is an apocalyptic number.

14975400 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 14975400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25333200).

14975400 is an abundant number, since it is smaller than the sum of its proper divisors (35691000).

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

14975400 is a wasteful number, since it uses less digits than its factorization.

14975400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 14975400 is about 3869.8061966977. The cubic root of 14975400 is about 246.4863140710.

The spelling of 14975400 in words is "fourteen million, nine hundred seventy-five thousand, four hundred".