452929752 has 256 divisors, whose sum is σ = 1474560000. Its totient is φ = 127370880.

The previous prime is 452929739. The next prime is 452929769. The reversal of 452929752 is 257929254.

It is a junction number, because it is equal to n+sod(n) for n = 452929698 and 452929707.

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 63 ways as a sum of consecutive naturals, for example, 3566313 + ... + 3566439.

It is an arithmetic number, because the mean of its divisors is an integer number (5760000).

Almost surely, 2^452929752 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 452929752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737280000).

452929752 is an abundant number, since it is smaller than the sum of its proper divisors (1021630248).

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

452929752 is a wasteful number, since it uses less digits than its factorization.

452929752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 241 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 452929752 is about 21282.1463203315. The cubic root of 452929752 is about 767.9688708086.

The spelling of 452929752 in words is "four hundred fifty-two million, nine hundred twenty-nine thousand, seven hundred fifty-two".