452219040 has 864 divisors, whose sum is σ = 2117540880. Its totient is φ = 86704128.

The previous prime is 452218973. The next prime is 452219051. The reversal of 452219040 is 40912254.

It can be written as a sum of positive squares in 8 ways, for example, as 178382736 + 273836304 = 13356^2 + 16548^2 .

It is a junction number, because it is equal to n+sod(n) for n = 452218995 and 452219013.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15593746 + ... + 15593774.

Almost surely, 2^452219040 is an apocalyptic number.

452219040 is a gapful number since it is divisible by the number (40) 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 452219040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058770440).

452219040 is an abundant number, since it is smaller than the sum of its proper divisors (1665321840).

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

452219040 is a wasteful number, since it uses less digits than its factorization.

452219040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 452219040 is about 21265.4423890029. The cubic root of 452219040 is about 767.5669759445.

The spelling of 452219040 in words is "four hundred fifty-two million, two hundred nineteen thousand, forty".