394016400 has 150 divisors (see below), whose sum is σ = 1414209522. Its totient is φ = 105062400.

The previous prime is 394016393. The next prime is 394016401. The reversal of 394016400 is 4610493.

It can be written as a sum of positive squares in 3 ways, for example, as 4822416 + 389193984 = 2196^2 + 19728^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (394016401) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 26320 + ... + 38480.

Almost surely, 2^394016400 is an apocalyptic number.

394016400 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 394016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707104761).

394016400 is an abundant number, since it is smaller than the sum of its proper divisors (1020193122).

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

394016400 is a wasteful number, since it uses less digits than its factorization.

394016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12191 (or 12171 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 394016400 is about 19849.8463470124. The cubic root of 394016400 is about 733.1138645361.

Adding to 394016400 its reverse (4610493), we get a palindrome (398626893).

The spelling of 394016400 in words is "three hundred ninety-four million, sixteen thousand, four hundred".