4528480 has 96 divisors (see below), whose sum is σ = 12192768. Its totient is φ = 1574400.

The previous prime is 4528429. The next prime is 4528487. The reversal of 4528480 is 848254.

4528480 = T₁₁₄ + T₁₁₅ + ... + T₃₀₅.

It is a super-2 number, since 2×4528480² = 41014262220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4528487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54519 + ... + 54601.

It is an arithmetic number, because the mean of its divisors is an integer number (127008).

Almost surely, 2^4528480 is an apocalyptic number.

4528480 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 4528480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096384).

4528480 is an abundant number, since it is smaller than the sum of its proper divisors (7664288).

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

4528480 is a wasteful number, since it uses less digits than its factorization.

4528480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 4528480 is about 2128.0225562714. The cubic root of 4528480 is about 165.4439224278.

The spelling of 4528480 in words is "four million, five hundred twenty-eight thousand, four hundred eighty".