973407240 has 512 divisors, whose sum is σ = 3810240000. Its totient is φ = 218972160.

The previous prime is 973407229. The next prime is 973407247. The reversal of 973407240 is 42704379.

973407240 is a `hidden beast` number, since 9 + 7 + 3 + 407 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 973407195 and 973407204.

It is not an unprimeable number, because it can be changed into a prime (973407247) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10937116 + ... + 10937204.

It is an arithmetic number, because the mean of its divisors is an integer number (7441875).

Almost surely, 2^973407240 is an apocalyptic number.

973407240 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 973407240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905120000).

973407240 is an abundant number, since it is smaller than the sum of its proper divisors (2836832760).

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

973407240 is a wasteful number, since it uses less digits than its factorization.

973407240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 973407240 is about 31199.4749955829. The cubic root of 973407240 is about 991.0559898419.

The spelling of 973407240 in words is "nine hundred seventy-three million, four hundred seven thousand, two hundred forty".