975193380 has 288 divisors, whose sum is σ = 3493002240. Its totient is φ = 215654400.

The previous prime is 975193369. The next prime is 975193403. The reversal of 975193380 is 83391579.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9655330 + ... + 9655430.

It is an arithmetic number, because the mean of its divisors is an integer number (12128480).

Almost surely, 2^975193380 is an apocalyptic number.

975193380 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 975193380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746501120).

975193380 is an abundant number, since it is smaller than the sum of its proper divisors (2517808860).

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

975193380 is a wasteful number, since it uses less digits than its factorization.

975193380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 975193380 is about 31228.0863967038. The cubic root of 975193380 is about 991.6617942310.

The spelling of 975193380 in words is "nine hundred seventy-five million, one hundred ninety-three thousand, three hundred eighty".