1532448 has 72 divisors (see below), whose sum is σ = 4628988. Its totient is φ = 479232.

The previous prime is 1532413. The next prime is 1532449. The reversal of 1532448 is 8442351.

It can be written as a sum of positive squares in 2 ways, for example, as 1468944 + 63504 = 1212^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (1532449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4740 + ... + 5052.

2^1532448 is an apocalyptic number.

1532448 is a gapful number since it is divisible by the number (18) 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 1532448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314494).

1532448 is an abundant number, since it is smaller than the sum of its proper divisors (3096540).

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

1532448 is a wasteful number, since it uses less digits than its factorization.

1532448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 335 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 1532448 is about 1237.9208375336. The cubic root of 1532448 is about 115.2909582559.

Adding to 1532448 its reverse (8442351), we get a palindrome (9974799).

Subtracting 1532448 from its reverse (8442351), we obtain a triangular number (6909903 = T₃₇₁₇).

It can be divided in two parts, 153 and 2448, that multiplied together give a square (374544 = 612²).

The spelling of 1532448 in words is "one million, five hundred thirty-two thousand, four hundred forty-eight".