396150000 has 240 divisors, whose sum is σ = 1356163200. Its totient is φ = 99360000.

The previous prime is 396149989. The next prime is 396150047. The reversal of 396150000 is 51693.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2849931 + ... + 2850069.

It is an arithmetic number, because the mean of its divisors is an integer number (5650680).

Almost surely, 2^396150000 is an apocalyptic number.

396150000 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 396150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678081600).

396150000 is an abundant number, since it is smaller than the sum of its proper divisors (960013200).

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

396150000 is a wasteful number, since it uses less digits than its factorization.

396150000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 396150000 is about 19903.5172771046. The cubic root of 396150000 is about 734.4347544557.

The spelling of 396150000 in words is "three hundred ninety-six million, one hundred fifty thousand".