396434000 has 80 divisors (see below), whose sum is σ = 962944320. Its totient is φ = 157852800.

The previous prime is 396433991. The next prime is 396434009. The reversal of 396434000 is 434693.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (396433991) and next prime (396434009).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396434009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 757739 + ... + 758261.

It is an arithmetic number, because the mean of its divisors is an integer number (12036804).

Almost surely, 2^396434000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481472160).

396434000 is an abundant number, since it is smaller than the sum of its proper divisors (566510320).

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

396434000 is a wasteful number, since it uses less digits than its factorization.

396434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 396434000 is about 19910.6504162973. The cubic root of 396434000 is about 734.6102179978.

Adding to 396434000 its reverse (434693), we get a palindrome (396868693).

The spelling of 396434000 in words is "three hundred ninety-six million, four hundred thirty-four thousand".