14793480 has 192 divisors, whose sum is σ = 54054000. Its totient is φ = 3483648.

The previous prime is 14793469. The next prime is 14793511. The reversal of 14793480 is 8439741.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5171076 + 9622404 = 2274^2 + 3102^2 .

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 135666 + ... + 135774.

Almost surely, 2^14793480 is an apocalyptic number.

14793480 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 14793480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27027000).

14793480 is an abundant number, since it is smaller than the sum of its proper divisors (39260520).

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

14793480 is a wasteful number, since it uses less digits than its factorization.

14793480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 14793480 is about 3846.2293223364. The cubic root of 14793480 is about 245.4841460748.

The spelling of 14793480 in words is "fourteen million, seven hundred ninety-three thousand, four hundred eighty".