1453271040 has 288 divisors, whose sum is σ = 5428692360. Its totient is φ = 357433344.

The previous prime is 1453271009. The next prime is 1453271051. The reversal of 1453271040 is 401723541.

It can be written as a sum of positive squares in 4 ways, for example, as 491774976 + 961496064 = 22176^2 + 31008^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1453271040² = 4223993431405363200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1453270995 and 1453271013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1197474 + ... + 1198686.

Almost surely, 2^1453271040 is an apocalyptic number.

1453271040 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 1453271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714346180).

1453271040 is an abundant number, since it is smaller than the sum of its proper divisors (3975421320).

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

1453271040 is a wasteful number, since it uses less digits than its factorization.

1453271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1453271040 is about 38121.7921929177. The cubic root of 1453271040 is about 1132.7016672281.

Adding to 1453271040 its reverse (401723541), we get a palindrome (1854994581).

The spelling of 1453271040 in words is "one billion, four hundred fifty-three million, two hundred seventy-one thousand, forty".