973049400 has 144 divisors (see below), whose sum is σ = 3460158000. Its totient is φ = 244208640.

The previous prime is 973049393. The next prime is 973049401. The reversal of 973049400 is 4940379.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (973049401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14701 + ... + 46499.

It is an arithmetic number, because the mean of its divisors is an integer number (24028875).

Almost surely, 2^973049400 is an apocalyptic number.

973049400 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 973049400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730079000).

973049400 is an abundant number, since it is smaller than the sum of its proper divisors (2487108600).

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

973049400 is a wasteful number, since it uses less digits than its factorization.

973049400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31838 (or 31826 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 973049400 is about 31193.7397565601. The cubic root of 973049400 is about 990.9345323037.

Adding to 973049400 its reverse (4940379), we get a palindrome (977989779).

The spelling of 973049400 in words is "nine hundred seventy-three million, forty-nine thousand, four hundred".