396507300 has 144 divisors (see below), whose sum is σ = 1341914112. Its totient is φ = 88502400.

The previous prime is 396507289. The next prime is 396507313. The reversal of 396507300 is 3705693.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88105 + ... + 92495.

It is an arithmetic number, because the mean of its divisors is an integer number (9318848).

Almost surely, 2^396507300 is an apocalyptic number.

396507300 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 396507300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670957056).

396507300 is an abundant number, since it is smaller than the sum of its proper divisors (945406812).

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

396507300 is a wasteful number, since it uses less digits than its factorization.

396507300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4458 (or 4451 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 33.

The square root of 396507300 is about 19912.4910546119. The cubic root of 396507300 is about 734.6554912846.

The spelling of 396507300 in words is "three hundred ninety-six million, five hundred seven thousand, three hundred".