20314400 has 72 divisors (see below), whose sum is σ = 50465520. Its totient is φ = 7983360.

The previous prime is 20314397. The next prime is 20314409. The reversal of 20314400 is 441302.

It is not an unprimeable number, because it can be changed into a prime (20314409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53411 + ... + 53789.

It is an arithmetic number, because the mean of its divisors is an integer number (700910).

Almost surely, 2^20314400 is an apocalyptic number.

20314400 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 20314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25232760).

20314400 is an abundant number, since it is smaller than the sum of its proper divisors (30151120).

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

20314400 is a wasteful number, since it uses less digits than its factorization.

20314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 20314400 is about 4507.1498754756. The cubic root of 20314400 is about 272.8567277676.

Adding to 20314400 its reverse (441302), we get a palindrome (20755702).

The spelling of 20314400 in words is "twenty million, three hundred fourteen thousand, four hundred".