452954880 has 432 divisors, whose sum is σ = 1848135744. Its totient is φ = 100270080.

The previous prime is 452954869. The next prime is 452954881. The reversal of 452954880 is 88459254.

452954880 is a `hidden beast` number, since 4 + 5 + 29 + 548 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452954881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3306172 + ... + 3306308.

It is an arithmetic number, because the mean of its divisors is an integer number (4278092).

Almost surely, 2^452954880 is an apocalyptic number.

452954880 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 452954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924067872).

452954880 is an abundant number, since it is smaller than the sum of its proper divisors (1395180864).

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

452954880 is a wasteful number, since it uses less digits than its factorization.

452954880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 452954880 is about 21282.7366661339. The cubic root of 452954880 is about 767.9830725436.

The spelling of 452954880 in words is "four hundred fifty-two million, nine hundred fifty-four thousand, eight hundred eighty".