315421200 has 180 divisors, whose sum is σ = 1121821428. Its totient is φ = 82022400.

The previous prime is 315421181. The next prime is 315421207. The reversal of 315421200 is 2124513.

315421200 is a `hidden beast` number, since 3 + 1 + 542 + 120 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 133818624 + 181602576 = 11568^2 + 13476^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (315421207) 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, 146532 + ... + 148668.

Almost surely, 2^315421200 is an apocalyptic number.

315421200 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 315421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560910714).

315421200 is an abundant number, since it is smaller than the sum of its proper divisors (806400228).

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

315421200 is a wasteful number, since it uses less digits than its factorization.

315421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 315421200 is about 17760.1013510622. The cubic root of 315421200 is about 680.7123446305.

Adding to 315421200 its reverse (2124513), we get a palindrome (317545713).

The spelling of 315421200 in words is "three hundred fifteen million, four hundred twenty-one thousand, two hundred".