747456 has 56 divisors (see below), whose sum is σ = 2103120. Its totient is φ = 233472.

The previous prime is 747451. The next prime is 747457. The reversal of 747456 is 654747.

747456 = T₂₈₈ + T₂₈₉ + ... + T₃₀₄.

747456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (747451) by changing a digit.

747456 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 7 ways as a sum of consecutive naturals, for example, 3150 + ... + 3378.

2⁷⁴⁷⁴⁵⁶ 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 747456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051560).

747456 is an abundant number, since it is smaller than the sum of its proper divisors (1355664).

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

747456 is a wasteful number, since it uses less digits than its factorization.

747456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

The product of its digits is 23520, while the sum is 33.

The square root of 747456 is about 864.5553770581. Note that the first 3 decimals coincide. The cubic root of 747456 is about 90.7531853871.

The spelling of 747456 in words is "seven hundred forty-seven thousand, four hundred fifty-six".