14750400 has 168 divisors, whose sum is σ = 55432960. Its totient is φ = 3363840.

The previous prime is 14750399. The next prime is 14750401. The reversal of 14750400 is 405741.

It is an interprime number because it is at equal distance from previous prime (14750399) and next prime (14750401).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (14750401) 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, 33381 + ... + 33819.

Almost surely, 2^14750400 is an apocalyptic number.

14750400 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 14750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27716480).

14750400 is an abundant number, since it is smaller than the sum of its proper divisors (40682560).

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

14750400 is a wasteful number, since it uses less digits than its factorization.

14750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 14750400 is about 3840.6249491456. The cubic root of 14750400 is about 245.2456234457.

The spelling of 14750400 in words is "fourteen million, seven hundred fifty thousand, four hundred".