1453318440 has 512 divisors, whose sum is σ = 5640192000. Its totient is φ = 298045440.

The previous prime is 1453318439. The next prime is 1453318487. The reversal of 1453318440 is 448133541.

It is a super-4 number, since 4×1453318440⁴ (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21691287 + ... + 21691353.

It is an arithmetic number, because the mean of its divisors is an integer number (11016000).

Almost surely, 2^1453318440 is an apocalyptic number.

1453318440 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 1453318440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820096000).

1453318440 is an abundant number, since it is smaller than the sum of its proper divisors (4186873560).

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

1453318440 is a wasteful number, since it uses less digits than its factorization.

1453318440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 1453318440 is about 38122.4138795014. The cubic root of 1453318440 is about 1132.7139818558.

The spelling of 1453318440 in words is "one billion, four hundred fifty-three million, three hundred eighteen thousand, four hundred forty".