742456 has 48 divisors (see below), whose sum is σ = 1675800. Its totient is φ = 306240.

The previous prime is 742439. The next prime is 742457. The reversal of 742456 is 654247.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742457) 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, 12555 + ... + 12613.

2⁷⁴²⁴⁵⁶ 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 742456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837900).

742456 is an abundant number, since it is smaller than the sum of its proper divisors (933344).

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

742456 is a wasteful number, since it uses less digits than its factorization.

742456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 85 counting only the distinct ones).

The product of its digits is 6720, while the sum is 28.

The square root of 742456 is about 861.6588652129. The cubic root of 742456 is about 90.5503723320.

Subtracting from 742456 its reverse (654247), we obtain a square (88209 = 297²).

The spelling of 742456 in words is "seven hundred forty-two thousand, four hundred fifty-six".