452402496 has 420 divisors, whose sum is σ = 1692275508. Its totient is φ = 118444032.

The previous prime is 452402473. The next prime is 452402513. The reversal of 452402496 is 694204254.

It can be written as a sum of positive squares in 2 ways, for example, as 158760000 + 293642496 = 12600^2 + 17136^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 452402496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3302140 + ... + 3302276.

Almost surely, 2^452402496 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 452402496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846137754).

452402496 is an abundant number, since it is smaller than the sum of its proper divisors (1239873012).

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

452402496 is a wasteful number, since it uses less digits than its factorization.

452402496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 162 counting only the distinct ones).

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

The square root of 452402496 is about 21269.7554287773. The cubic root of 452402496 is about 767.6707573109.

The spelling of 452402496 in words is "four hundred fifty-two million, four hundred two thousand, four hundred ninety-six".