20378400 has 144 divisors (see below), whose sum is σ = 75870144. Its totient is φ = 4654080.

The previous prime is 20378399. The next prime is 20378417. The reversal of 20378400 is 487302.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16194 + ... + 17406.

It is an arithmetic number, because the mean of its divisors is an integer number (526876).

Almost surely, 2^20378400 is an apocalyptic number.

20378400 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 20378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37935072).

20378400 is an abundant number, since it is smaller than the sum of its proper divisors (55491744).

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

20378400 is a wasteful number, since it uses less digits than its factorization.

20378400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1230 counting only the distinct ones).

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

The square root of 20378400 is about 4514.2441227740. The cubic root of 20378400 is about 273.1429701027.

The spelling of 20378400 in words is "twenty million, three hundred seventy-eight thousand, four hundred".