20374400 has 48 divisors (see below), whose sum is σ = 50339040. Its totient is φ = 8148480.

The previous prime is 20374399. The next prime is 20374421. The reversal of 20374400 is 447302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17 + ... + 6383.

It is an arithmetic number, because the mean of its divisors is an integer number (1048730).

Almost surely, 2^20374400 is an apocalyptic number.

20374400 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 20374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25169520).

20374400 is an abundant number, since it is smaller than the sum of its proper divisors (29964640).

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

20374400 is an equidigital number, since it uses as much as digits as its factorization.

20374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6391 (or 6374 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 20374400 is about 4513.8010589746. The cubic root of 20374400 is about 273.1250975289.

The spelling of 20374400 in words is "twenty million, three hundred seventy-four thousand, four hundred".