1453313540 has 72 divisors (see below), whose sum is σ = 3672731160. Its totient is φ = 481087488.

The previous prime is 1453313539. The next prime is 1453313551. The reversal of 1453313540 is 453133541.

It can be written as a sum of positive squares in 4 ways, for example, as 448677124 + 1004636416 = 21182^2 + 31696^2 .

It is a super-2 number, since 2×1453313540² = 4224240491094663200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 2852 + ... + 53988.

It is an arithmetic number, because the mean of its divisors is an integer number (51010155).

Almost surely, 2^1453313540 is an apocalyptic number.

1453313540 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 1453313540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836365580).

1453313540 is an abundant number, since it is smaller than the sum of its proper divisors (2219417620).

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

1453313540 is a wasteful number, since it uses less digits than its factorization.

1453313540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51189 (or 51180 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 1453313540 is about 38122.3496127928. The cubic root of 1453313540 is about 1132.7127088371.

The spelling of 1453313540 in words is "one billion, four hundred fifty-three million, three hundred thirteen thousand, five hundred forty".