975410040 has 256 divisors, whose sum is σ = 3339325440. Its totient is φ = 227673600.

The previous prime is 975410027. The next prime is 975410063. The reversal of 975410040 is 40014579.

It is a happy number.

975410040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×975410040² = 1902849492265603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4951222 + ... + 4951418.

It is an arithmetic number, because the mean of its divisors is an integer number (13044240).

Almost surely, 2^975410040 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 975410040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669662720).

975410040 is an abundant number, since it is smaller than the sum of its proper divisors (2363915400).

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

975410040 is a wasteful number, since it uses less digits than its factorization.

975410040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 975410040 is about 31231.5551966277. Note that the first 3 decimals coincide. The cubic root of 975410040 is about 991.7352283961.

The spelling of 975410040 in words is "nine hundred seventy-five million, four hundred ten thousand, forty".