14976900 has 135 divisors (see below), whose sum is σ = 49704501. Its totient is φ = 3900960.

The previous prime is 14976869. The next prime is 14976901. The reversal of 14976900 is 967941.

The square root of 14976900 is 3870.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5391684 + 9585216 = 2322^2 + 3096^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×14976900² = 448615067220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14976901) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 348279 + ... + 348321.

Almost surely, 2^14976900 is an apocalyptic number.

14976900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14976900 is the 3870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14976900

14976900 is an abundant number, since it is smaller than the sum of its proper divisors (34727601).

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

14976900 is a wasteful number, since it uses less digits than its factorization.

14976900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The cubic root of 14976900 is about 246.4945435035.

Multiplying 14976900 by its sum of digits (36), we get a square (539168400 = 23220²).

14976900 divided by its sum of digits (36) gives a square (416025 = 645²).

It can be divided in two parts, 14976 and 900, that added together give a square (15876 = 126²).

The spelling of 14976900 in words is "fourteen million, nine hundred seventy-six thousand, nine hundred".