20407416 has 64 divisors (see below), whose sum is σ = 53460000. Its totient is φ = 6483456.

The previous prime is 20407397. The next prime is 20407423. The reversal of 20407416 is 61470402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75730 + ... + 75998.

Almost surely, 2^20407416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20407416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26730000).

20407416 is an abundant number, since it is smaller than the sum of its proper divisors (33052584).

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

20407416 is a wasteful number, since it uses less digits than its factorization.

20407416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 20407416 is about 4517.4568066557. The cubic root of 20407416 is about 273.2725477892.

Multiplying 20407416 by its sum of digits (24), we get a palindrome (489777984).

Adding to 20407416 its reverse (61470402), we get a palindrome (81877818).

The spelling of 20407416 in words is "twenty million, four hundred seven thousand, four hundred sixteen".