1453200252 has 72 divisors (see below), whose sum is σ = 4003380864. Its totient is φ = 408991968.

The previous prime is 1453200241. The next prime is 1453200347. The reversal of 1453200252 is 2520023541.

It is a super-4 number, since 4×1453200252⁴ (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20953 + ... + 57839.

It is an arithmetic number, because the mean of its divisors is an integer number (55602512).

Almost surely, 2^1453200252 is an apocalyptic number.

1453200252 is a gapful number since it is divisible by the number (12) 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 1453200252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001690432).

1453200252 is an abundant number, since it is smaller than the sum of its proper divisors (2550180612).

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

1453200252 is a wasteful number, since it uses less digits than its factorization.

1453200252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36975 (or 36966 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 1453200252 is about 38120.8637362796. The cubic root of 1453200252 is about 1132.6832758464.

Adding to 1453200252 its reverse (2520023541), we get a palindrome (3973223793).

The spelling of 1453200252 in words is "one billion, four hundred fifty-three million, two hundred thousand, two hundred fifty-two".