975471000 has 128 divisors (see below), whose sum is σ = 3478325760. Its totient is φ = 222960000.

The previous prime is 975470981. The next prime is 975471011. The reversal of 975471000 is 174579.

It is a super-3 number, since 3×975471000³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2226 + ... + 44225.

It is an arithmetic number, because the mean of its divisors is an integer number (27174420).

Almost surely, 2^975471000 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 975471000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739162880).

975471000 is an abundant number, since it is smaller than the sum of its proper divisors (2502854760).

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

975471000 is a wasteful number, since it uses less digits than its factorization.

975471000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46482 (or 46468 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 975471000 is about 31232.5311174103. The cubic root of 975471000 is about 991.7558880563.

The spelling of 975471000 in words is "nine hundred seventy-five million, four hundred seventy-one thousand".