20482000 has 240 divisors, whose sum is σ = 66156480. Its totient is φ = 6048000.

The previous prime is 20481973. The next prime is 20482037. The reversal of 20482000 is 28402.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 1077991 + ... + 1078009.

It is an arithmetic number, because the mean of its divisors is an integer number (275652).

Almost surely, 2^20482000 is an apocalyptic number.

20482000 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 20482000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33078240).

20482000 is an abundant number, since it is smaller than the sum of its proper divisors (45674480).

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

20482000 is a wasteful number, since it uses less digits than its factorization.

20482000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 20482000 is about 4525.7043650685. The cubic root of 20482000 is about 273.6050573031.

It can be divided in two parts, 2048 and 2000, that multiplied together give a cube (4096000 = 160³).

The spelling of 20482000 in words is "twenty million, four hundred eighty-two thousand".