315440100 has 216 divisors, whose sum is σ = 1069384680. Its totient is φ = 77475840.

The previous prime is 315440063. The next prime is 315440123. The reversal of 315440100 is 1044513.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 50466816 + 264973284 = 7104^2 + 16278^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 810706 + ... + 811094.

It is an arithmetic number, because the mean of its divisors is an integer number (4950855).

Almost surely, 2^315440100 is an apocalyptic number.

315440100 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 315440100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534692340).

315440100 is an abundant number, since it is smaller than the sum of its proper divisors (753944580).

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

315440100 is a wasteful number, since it uses less digits than its factorization.

315440100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 469 counting only the distinct ones).

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

The square root of 315440100 is about 17760.6334346498. The cubic root of 315440100 is about 680.7259404259.

Adding to 315440100 its reverse (1044513), we get a palindrome (316484613).

The spelling of 315440100 in words is "three hundred fifteen million, four hundred forty thousand, one hundred".