1453276440 has 384 divisors, whose sum is σ = 5957452800. Its totient is φ = 298460160.

The previous prime is 1453276379. The next prime is 1453276453. The reversal of 1453276440 is 446723541.

1453276440 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 2 + 7 + 644 + 0 = 666.

It is a super-3 number, since 3×1453276440³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 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 = 1453276395 and 1453276404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2854906 + ... + 2855414.

It is an arithmetic number, because the mean of its divisors is an integer number (15514200).

Almost surely, 2^1453276440 is an apocalyptic number.

1453276440 is a gapful number since it is divisible by the number (10) 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 1453276440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978726400).

1453276440 is an abundant number, since it is smaller than the sum of its proper divisors (4504176360).

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

1453276440 is a wasteful number, since it uses less digits than its factorization.

1453276440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 1453276440 is about 38121.8630184832. The cubic root of 1453276440 is about 1132.7030701739.

Adding to 1453276440 its reverse (446723541), we get a palindrome (1899999981).

The spelling of 1453276440 in words is "one billion, four hundred fifty-three million, two hundred seventy-six thousand, four hundred forty".