394022400 has 240 divisors, whose sum is σ = 1347675648. Its totient is φ = 101376000.

The previous prime is 394022393. The next prime is 394022467. The reversal of 394022400 is 4220493.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 1190235 + ... + 1190565.

Almost surely, 2^394022400 is an apocalyptic number.

394022400 is a gapful number since it is divisible by the number (30) 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 394022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673837824).

394022400 is an abundant number, since it is smaller than the sum of its proper divisors (953653248).

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

394022400 is a wasteful number, since it uses less digits than its factorization.

394022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 394022400 is about 19849.9974811082. The cubic root of 394022400 is about 733.1175857525.

Adding to 394022400 its reverse (4220493), we get a palindrome (398242893).

The spelling of 394022400 in words is "three hundred ninety-four million, twenty-two thousand, four hundred".