20380464 has 160 divisors (see below), whose sum is σ = 66662400. Its totient is φ = 5909760.

The previous prime is 20380457. The next prime is 20380471. The reversal of 20380464 is 46408302.

It is an interprime number because it is at equal distance from previous prime (20380457) and next prime (20380471).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106609 + ... + 106799.

It is an arithmetic number, because the mean of its divisors is an integer number (416640).

Almost surely, 2^20380464 is an apocalyptic number.

20380464 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 20380464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33331200).

20380464 is an abundant number, since it is smaller than the sum of its proper divisors (46281936).

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

20380464 is a wasteful number, since it uses less digits than its factorization.

20380464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 20380464 is about 4514.4727266869. The cubic root of 20380464 is about 273.1521914360.

Adding to 20380464 its reverse (46408302), we get a palindrome (66788766).

The spelling of 20380464 in words is "twenty million, three hundred eighty thousand, four hundred sixty-four".