452561616 has 180 divisors, whose sum is σ = 1428971908. Its totient is φ = 132903936.

The previous prime is 452561611. The next prime is 452561633. The reversal of 452561616 is 616165254.

452561616 is a `hidden beast` number, since 4 + 5 + 25 + 616 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 230432400 + 222129216 = 15180^2 + 14904^2 .

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452561611) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 990060 + ... + 990516.

Almost surely, 2^452561616 is an apocalyptic number.

452561616 is a gapful number since it is divisible by the number (46) 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 452561616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714485954).

452561616 is an abundant number, since it is smaller than the sum of its proper divisors (976410292).

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

452561616 is a wasteful number, since it uses less digits than its factorization.

452561616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 498 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 452561616 is about 21273.4956224876. The cubic root of 452561616 is about 767.7607490429.

The spelling of 452561616 in words is "four hundred fifty-two million, five hundred sixty-one thousand, six hundred sixteen".