973769280 has 336 divisors, whose sum is σ = 3473330112. Its totient is φ = 230912000.

The previous prime is 973769273. The next prime is 973769281. The reversal of 973769280 is 82967379.

It is a super-2 number, since 2×973769280² = 1896453221343436800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (973769281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9641230 + ... + 9641330.

It is an arithmetic number, because the mean of its divisors is an integer number (10337292).

Almost surely, 2^973769280 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 973769280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736665056).

973769280 is an abundant number, since it is smaller than the sum of its proper divisors (2499560832).

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

973769280 is a wasteful number, since it uses less digits than its factorization.

973769280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The square root of 973769280 is about 31205.2764769037. The cubic root of 973769280 is about 991.1788426494.

The spelling of 973769280 in words is "nine hundred seventy-three million, seven hundred sixty-nine thousand, two hundred eighty".