20148480 has 288 divisors, whose sum is σ = 79470720. Its totient is φ = 4792320.

The previous prime is 20148473. The next prime is 20148487. The reversal of 20148480 is 8484102.

It is an interprime number because it is at equal distance from previous prime (20148473) and next prime (20148487).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×20148480² = 811922492620800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20148487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380134 + ... + 380186.

It is an arithmetic number, because the mean of its divisors is an integer number (275940).

Almost surely, 2^20148480 is an apocalyptic number.

20148480 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 20148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39735360).

20148480 is an abundant number, since it is smaller than the sum of its proper divisors (59322240).

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

20148480 is a wasteful number, since it uses less digits than its factorization.

20148480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 20148480 is about 4488.7058268503. The cubic root of 20148480 is about 272.1118340587. Note that the first 3 decimals are identical.

The spelling of 20148480 in words is "twenty million, one hundred forty-eight thousand, four hundred eighty".