20214480 has 320 divisors, whose sum is σ = 79994880. Its totient is φ = 4147200.

The previous prime is 20214451. The next prime is 20214497. The reversal of 20214480 is 8441202.

20214480 = T₁ + T₂ + ... + T₄₉₄.

20214480 is a nontrivial binomial coefficient, being equal to C(496, 3).

It is a congruent number.

It is an unprimeable number.

It is the 494-th tetrahedral 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 63 ways as a sum of consecutive naturals, for example, 652065 + ... + 652095.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

Almost surely, 2^20214480 is an apocalyptic number.

20214480 is a gapful number since it is divisible by the number (20) 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 20214480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39997440).

20214480 is an abundant number, since it is smaller than the sum of its proper divisors (59780400).

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

20214480 is a wasteful number, since it uses less digits than its factorization.

20214480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 20214480 is about 4496.0516011274. The cubic root of 20214480 is about 272.4086274466.

Adding to 20214480 its reverse (8441202), we get a palindrome (28655682).

The spelling of 20214480 in words is "twenty million, two hundred fourteen thousand, four hundred eighty".