452538253440 has 1152 divisors, whose sum is σ = 2025612716400. Its totient is φ = 92166488064.

The previous prime is 452538253421. The next prime is 452538253477. The reversal of 452538253440 is 44352835254.

452538253440 is a `hidden beast` number, since 4 + 52 + 538 + 25 + 3 + 4 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 40035207744 + 412503045696 = 200088^2 + 642264^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 106402354 + ... + 106406606.

Almost surely, 2^452538253440 is an apocalyptic number.

452538253440 is a gapful number since it is divisible by the number (40) 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 452538253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012806358200).

452538253440 is an abundant number, since it is smaller than the sum of its proper divisors (1573074462960).

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

452538253440 is a wasteful number, since it uses less digits than its factorization.

452538253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4334 (or 4312 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 452538253440 in words is "four hundred fifty-two billion, five hundred thirty-eight million, two hundred fifty-three thousand, four hundred forty".