742448 has 30 divisors (see below), whose sum is σ = 1675116. Its totient is φ = 317856.

The previous prime is 742439. The next prime is 742457. The reversal of 742448 is 844247.

It is an interprime number because it is at equal distance from previous prime (742439) and next prime (742457).

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 742448.

It is an unprimeable number.

742448 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 311 + ... + 1257.

2⁷⁴²⁴⁴⁸ 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 742448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837558).

742448 is an abundant number, since it is smaller than the sum of its proper divisors (932668).

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

742448 is a wasteful number, since it uses less digits than its factorization.

742448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 956 counting only the distinct ones).

The product of its digits is 7168, while the sum is 29.

The square root of 742448 is about 861.6542229920. The cubic root of 742448 is about 90.5500471026.

The spelling of 742448 in words is "seven hundred forty-two thousand, four hundred forty-eight".