396315300 has 144 divisors (see below), whose sum is σ = 1259919360. Its totient is φ = 95736960.

The previous prime is 396315299. The next prime is 396315301. The reversal of 396315300 is 3513693.

It is an interprime number because it is at equal distance from previous prime (396315299) and next prime (396315301).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396315301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129589 + ... + 132611.

It is an arithmetic number, because the mean of its divisors is an integer number (8749440).

Almost surely, 2^396315300 is an apocalyptic number.

396315300 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 396315300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629959680).

396315300 is an abundant number, since it is smaller than the sum of its proper divisors (863604060).

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

396315300 is a wasteful number, since it uses less digits than its factorization.

396315300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 30.

The square root of 396315300 is about 19907.6693763986. The cubic root of 396315300 is about 734.5368918474.

Adding to 396315300 its reverse (3513693), we get a palindrome (399828993).

The spelling of 396315300 in words is "three hundred ninety-six million, three hundred fifteen thousand, three hundred".