20414700 has 72 divisors (see below), whose sum is σ = 65638160. Its totient is φ = 5443200.

The previous prime is 20414677. The next prime is 20414707. The reversal of 20414700 is 741402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20414707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1081 + ... + 6480.

Almost surely, 2^20414700 is an apocalyptic number.

20414700 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 20414700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32819080).

20414700 is an abundant number, since it is smaller than the sum of its proper divisors (45223460).

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

20414700 is a wasteful number, since it uses less digits than its factorization.

20414700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7584 (or 7571 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 20414700 is about 4518.2629405558. The cubic root of 20414700 is about 273.3050568938.

The spelling of 20414700 in words is "twenty million, four hundred fourteen thousand, seven hundred".