970380600 has 384 divisors, whose sum is σ = 3685478400. Its totient is φ = 206438400.

The previous prime is 970380589. The next prime is 970380623. The reversal of 970380600 is 6083079.

970380600 = T₁ + T₂ + ... + T₁₇₉₈.

It is a happy number.

970380600 is a nontrivial binomial coefficient, being equal to C(1800, 3).

It is a congruent number.

It is an unprimeable number.

It is the 1798-th tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3775672 + ... + 3775928.

It is an arithmetic number, because the mean of its divisors is an integer number (9597600).

Almost surely, 2^970380600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 970380600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842739200).

970380600 is an abundant number, since it is smaller than the sum of its proper divisors (2715097800).

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

970380600 is a wasteful number, since it uses less digits than its factorization.

970380600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 970380600 is about 31150.9325703100. The cubic root of 970380600 is about 990.0277514922.

The spelling of 970380600 in words is "nine hundred seventy million, three hundred eighty thousand, six hundred".