970509408 has 192 divisors, whose sum is σ = 2909571840. Its totient is φ = 280627200.

The previous prime is 970509383. The next prime is 970509431. The reversal of 970509408 is 804905079.

It is a Cunningham number, because it is equal to 31153²-1.

It is a super-2 number, since 2×970509408² = 1883777022033020928, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 970509408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2305038 + ... + 2305458.

It is an arithmetic number, because the mean of its divisors is an integer number (15154020).

Almost surely, 2^970509408 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 970509408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454785920).

970509408 is an abundant number, since it is smaller than the sum of its proper divisors (1939062432).

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

970509408 is a wasteful number, since it uses less digits than its factorization.

970509408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 970509408 is about 31152.9999839502. Note that the first 4 decimals coincide. The cubic root of 970509408 is about 990.0715548730.

The spelling of 970509408 in words is "nine hundred seventy million, five hundred nine thousand, four hundred eight".