452249280 has 168 divisors, whose sum is σ = 1777849632. Its totient is φ = 103366656.

The previous prime is 452249269. The next prime is 452249293. The reversal of 452249280 is 82942254.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×452249280² = 409058822521036800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8944 + ... + 31376.

Almost surely, 2^452249280 is an apocalyptic number.

452249280 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 452249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888924816).

452249280 is an abundant number, since it is smaller than the sum of its proper divisors (1325600352).

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

452249280 is a wasteful number, since it uses less digits than its factorization.

452249280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22463 (or 22450 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 452249280 is about 21266.1533898352. The cubic root of 452249280 is about 767.5840846949.

The spelling of 452249280 in words is "four hundred fifty-two million, two hundred forty-nine thousand, two hundred eighty".