975429000 has 512 divisors, whose sum is σ = 4172313600. Its totient is φ = 205286400.

The previous prime is 975428989. The next prime is 975429017. The reversal of 975429000 is 924579.

975429000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2456802 + ... + 2457198.

It is an arithmetic number, because the mean of its divisors is an integer number (8149050).

Almost surely, 2^975429000 is an apocalyptic number.

975429000 is a gapful number since it is divisible by the number (90) 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 975429000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086156800).

975429000 is an abundant number, since it is smaller than the sum of its proper divisors (3196884600).

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

975429000 is a wasteful number, since it uses less digits than its factorization.

975429000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 975429000 is about 31231.8587343117. The cubic root of 975429000 is about 991.7416541307.

The spelling of 975429000 in words is "nine hundred seventy-five million, four hundred twenty-nine thousand".