316001400 has 384 divisors, whose sum is σ = 1199923200. Its totient is φ = 67737600.

The previous prime is 316001377. The next prime is 316001437. The reversal of 316001400 is 4100613.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 316001400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2488137 + ... + 2488263.

It is an arithmetic number, because the mean of its divisors is an integer number (3124800).

Almost surely, 2^316001400 is an apocalyptic number.

316001400 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 316001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599961600).

316001400 is an abundant number, since it is smaller than the sum of its proper divisors (883921800).

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

316001400 is a wasteful number, since it uses less digits than its factorization.

316001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 316001400 is about 17776.4282126641. The cubic root of 316001400 is about 681.1294666533.

The spelling of 316001400 in words is "three hundred sixteen million, one thousand, four hundred".