453790440 has 96 divisors (see below), whose sum is σ = 1477798920. Its totient is φ = 120766464.

The previous prime is 453790439. The next prime is 453790451. The reversal of 453790440 is 44097354.

It can be written as a sum of positive squares in 4 ways, for example, as 191933316 + 261857124 = 13854^2 + 16182^2 .

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 = 453790395 and 453790404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241344 + ... + 243216.

Almost surely, 2^453790440 is an apocalyptic number.

453790440 is a gapful number since it is divisible by the number (40) 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 453790440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738899460).

453790440 is an abundant number, since it is smaller than the sum of its proper divisors (1024008480).

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

453790440 is a wasteful number, since it uses less digits than its factorization.

453790440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 453790440 is about 21302.3576160011. The cubic root of 453790440 is about 768.4550119443.

The spelling of 453790440 in words is "four hundred fifty-three million, seven hundred ninety thousand, four hundred forty".