532440480 has 192 divisors, whose sum is σ = 1970656128. Its totient is φ = 119132160.

The previous prime is 532440457. The next prime is 532440481. The reversal of 532440480 is 84044235.

It is a super-4 number, since 4×532440480⁴ (a number of 36 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (532440481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64762 + ... + 72518.

It is an arithmetic number, because the mean of its divisors is an integer number (10263834).

Almost surely, 2^532440480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532440480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985328064).

532440480 is an abundant number, since it is smaller than the sum of its proper divisors (1438215648).

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

532440480 is a wasteful number, since it uses less digits than its factorization.

532440480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7799 (or 7791 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 532440480 is about 23074.6718286523. The cubic root of 532440480 is about 810.5074704468.

The spelling of 532440480 in words is "five hundred thirty-two million, four hundred forty thousand, four hundred eighty".