4532880 has 160 divisors (see below), whose sum is σ = 16391808. Its totient is φ = 1024000.

The previous prime is 4532831. The next prime is 4532893. The reversal of 4532880 is 882354.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44830 + ... + 44930.

Almost surely, 2^4532880 is an apocalyptic number.

4532880 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 4532880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8195904).

4532880 is an abundant number, since it is smaller than the sum of its proper divisors (11858928).

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

4532880 is a wasteful number, since it uses less digits than its factorization.

4532880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 4532880 is about 2129.0561288984. The cubic root of 4532880 is about 165.4974884234.

It can be divided in two parts, 453 and 2880, that added together give a palindrome (3333).

The spelling of 4532880 in words is "four million, five hundred thirty-two thousand, eight hundred eighty".