396167400 has 144 divisors (see below), whose sum is σ = 1344770700. Its totient is φ = 104509440.

The previous prime is 396167389. The next prime is 396167407. The reversal of 396167400 is 4761693.

396167400 is a `hidden beast` number, since 3 + 96 + 167 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 41447844 + 354719556 = 6438^2 + 18834^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (396167407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 173466 + ... + 175734.

Almost surely, 2^396167400 is an apocalyptic number.

396167400 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 396167400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672385350).

396167400 is an abundant number, since it is smaller than the sum of its proper divisors (948603300).

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

396167400 is a wasteful number, since it uses less digits than its factorization.

396167400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 396167400 is about 19903.9543809767. The cubic root of 396167400 is about 734.4455070979.

The spelling of 396167400 in words is "three hundred ninety-six million, one hundred sixty-seven thousand, four hundred".