20414800 has 120 divisors (see below), whose sum is σ = 58674816. Its totient is φ = 6673920.

The previous prime is 20414789. The next prime is 20414803. The reversal of 20414800 is 841402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20414803) 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, 64242 + ... + 64558.

Almost surely, 2^20414800 is an apocalyptic number.

20414800 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 20414800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29337408).

20414800 is an abundant number, since it is smaller than the sum of its proper divisors (38260016).

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

20414800 is a wasteful number, since it uses less digits than its factorization.

20414800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 20414800 is about 4518.2740067420. The cubic root of 20414800 is about 273.3055031484.

The spelling of 20414800 in words is "twenty million, four hundred fourteen thousand, eight hundred".