452261880 has 576 divisors, whose sum is σ = 1931005440. Its totient is φ = 93063168.

The previous prime is 452261867. The next prime is 452261933. The reversal of 452261880 is 88162254.

452261880 is a `hidden beast` number, since 452 + 26 + 188 + 0 = 666.

It is a super-2 number, since 2×452261880² = 409081616202268800, which contains 22 as substring.

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

It is a congruent number.

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, 19663549 + ... + 19663571.

It is an arithmetic number, because the mean of its divisors is an integer number (3352440).

Almost surely, 2^452261880 is an apocalyptic number.

452261880 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 452261880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965502720).

452261880 is an abundant number, since it is smaller than the sum of its proper divisors (1478743560).

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

452261880 is a wasteful number, since it uses less digits than its factorization.

452261880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 452261880 is about 21266.4496331663. The cubic root of 452261880 is about 767.5912131158.

The spelling of 452261880 in words is "four hundred fifty-two million, two hundred sixty-one thousand, eight hundred eighty".