1540448 has 72 divisors (see below), whose sum is σ = 3901968. Its totient is φ = 582912.

The previous prime is 1540447. The next prime is 1540453. The reversal of 1540448 is 8440451.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540447) 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, 66965 + ... + 66987.

It is an arithmetic number, because the mean of its divisors is an integer number (54194).

2^1540448 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 1540448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950984).

1540448 is an abundant number, since it is smaller than the sum of its proper divisors (2361520).

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

1540448 is a wasteful number, since it uses less digits than its factorization.

1540448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 1540448 is about 1241.1478558173. The cubic root of 1540448 is about 115.4912320075.

Adding to 1540448 its reverse (8440451), we get a palindrome (9980899).

The spelling of 1540448 in words is "one million, five hundred forty thousand, four hundred forty-eight".