20284464 has 40 divisors (see below), whose sum is σ = 52895920. Its totient is φ = 6697728.

The previous prime is 20284441. The next prime is 20284469. The reversal of 20284464 is 46448202.

It is a super-2 number, since 2×20284464² = 822918959534592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20284469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3294 + ... + 7170.

It is an arithmetic number, because the mean of its divisors is an integer number (1322398).

Almost surely, 2^20284464 is an apocalyptic number.

20284464 is a gapful number since it is divisible by the number (24) 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 20284464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26447960).

20284464 is an abundant number, since it is smaller than the sum of its proper divisors (32611456).

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

20284464 is a wasteful number, since it uses less digits than its factorization.

20284464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3997 (or 3991 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 20284464 is about 4503.8277054079. The cubic root of 20284464 is about 272.7226315170.

It can be divided in two parts, 202 and 84464, that added together give a triangular number (84666 = T₄₁₁).

The spelling of 20284464 in words is "twenty million, two hundred eighty-four thousand, four hundred sixty-four".