14764900 has 54 divisors (see below), whose sum is σ = 33897570. Its totient is φ = 5581440.

The previous prime is 14764889. The next prime is 14764903. The reversal of 14764900 is 946741.

It can be written as a sum of positive squares in 3 ways, for example, as 3326976 + 11437924 = 1824^2 + 3382^2 .

It is not an unprimeable number, because it can be changed into a prime (14764903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 35896 + ... + 36304.

Almost surely, 2^14764900 is an apocalyptic number.

14764900 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 14764900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16948785).

14764900 is an abundant number, since it is smaller than the sum of its proper divisors (19132670).

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

14764900 is a wasteful number, since it uses less digits than its factorization.

14764900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 14764900 is about 3842.5121990698. The cubic root of 14764900 is about 245.3259579213.

The spelling of 14764900 in words is "fourteen million, seven hundred sixty-four thousand, nine hundred".