4532280480 has 1008 divisors, whose sum is σ = 20441207304. Its totient is φ = 940584960.

The previous prime is 4532280451. The next prime is 4532280497. The reversal of 4532280480 is 840822354.

4532280480 is a `hidden beast` number, since 4 + 532 + 2 + 80 + 48 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1486565136 + 3045715344 = 38556^2 + 55188^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

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 167 ways as a sum of consecutive naturals, for example, 74299650 + ... + 74299710.

It is a vampire number, since it can be written as 53802 ⋅ 84240 (with its own digits).

Almost surely, 2^4532280480 is an apocalyptic number.

4532280480 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 4532280480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10220603652).

4532280480 is an abundant number, since it is smaller than the sum of its proper divisors (15908926824).

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

4532280480 is a wasteful number, since it uses less digits than its factorization.

4532280480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4532280480 is about 67322.2138673410. The cubic root of 4532280480 is about 1654.9019185340.

The spelling of 4532280480 in words is "four billion, five hundred thirty-two million, two hundred eighty thousand, four hundred eighty".