1453002240 has 320 divisors, whose sum is σ = 5091102720. Its totient is φ = 351928320.

The previous prime is 1453002217. The next prime is 1453002269. The reversal of 1453002240 is 422003541.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1453002240² = 4222431018890035200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4047181 + ... + 4047539.

It is an arithmetic number, because the mean of its divisors is an integer number (15909696).

Almost surely, 2^1453002240 is an apocalyptic number.

1453002240 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 1453002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545551360).

1453002240 is an abundant number, since it is smaller than the sum of its proper divisors (3638100480).

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

1453002240 is a wasteful number, since it uses less digits than its factorization.

1453002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 1453002240 is about 38118.2664873417. The cubic root of 1453002240 is about 1132.6318273122.

Adding to 1453002240 its reverse (422003541), we get a palindrome (1875005781).

The spelling of 1453002240 in words is "one billion, four hundred fifty-three million, two thousand, two hundred forty".