14990400 has 168 divisors, whose sum is σ = 54803040. Its totient is φ = 3985920.

The previous prime is 14990389. The next prime is 14990401. The reversal of 14990400 is 409941.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14990401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43027 + ... + 43373.

Almost surely, 2^14990400 is an apocalyptic number.

14990400 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 14990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27401520).

14990400 is an abundant number, since it is smaller than the sum of its proper divisors (39812640).

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

14990400 is a wasteful number, since it uses less digits than its factorization.

14990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 14990400 is about 3871.7437931764. The cubic root of 14990400 is about 246.5685836808.

The spelling of 14990400 in words is "fourteen million, nine hundred ninety thousand, four hundred".