973728450 has 54 divisors (see below), whose sum is σ = 2617863417. Its totient is φ = 259484400.

The previous prime is 973728449. The next prime is 973728463. The reversal of 973728450 is 54827379.

It can be written as a sum of positive squares in 2 ways, for example, as 954253881 + 19474569 = 30891^2 + 4413^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=22065.

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

It is a junction number, because it is equal to n+sod(n) for n = 973728396 and 973728405.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 661215 + ... + 662685.

Almost surely, 2^973728450 is an apocalyptic number.

973728450 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

973728450 is an abundant number, since it is smaller than the sum of its proper divisors (1644134967).

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

973728450 is a wasteful number, since it uses less digits than its factorization.

973728450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2960 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 973728450 is about 31204.6222537623. The cubic root of 973728450 is about 991.1649891290.

The spelling of 973728450 in words is "nine hundred seventy-three million, seven hundred twenty-eight thousand, four hundred fifty".