1452638304 has 288 divisors, whose sum is σ = 4879012320. Its totient is φ = 405651456.

The previous prime is 1452638251. The next prime is 1452638309. The reversal of 1452638304 is 4038362541.

1452638304 is a `hidden beast` number, since 14 + 5 + 2 + 638 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1452638304² = 4220316084495992832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1452638309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1845399 + ... + 1846185.

It is an arithmetic number, because the mean of its divisors is an integer number (16941015).

Almost surely, 2^1452638304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1452638304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439506160).

1452638304 is an abundant number, since it is smaller than the sum of its proper divisors (3426374016).

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

1452638304 is a wasteful number, since it uses less digits than its factorization.

1452638304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1452638304 is about 38113.4924141045. The cubic root of 1452638304 is about 1132.5372553275.

The spelling of 1452638304 in words is "one billion, four hundred fifty-two million, six hundred thirty-eight thousand, three hundred four".