747408 has 40 divisors (see below), whose sum is σ = 2017728. Its totient is φ = 237952.

The previous prime is 747407. The next prime is 747421. The reversal of 747408 is 804747.

747408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 747408.

It is not an unprimeable number, because it can be changed into a prime (747401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 766 + ... + 1442.

2⁷⁴⁷⁴⁰⁸ 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 747408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008864).

747408 is an abundant number, since it is smaller than the sum of its proper divisors (1270320).

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

747408 is a wasteful number, since it uses less digits than its factorization.

747408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 747408 is about 864.5276166786. The cubic root of 747408 is about 90.7512426880.

The spelling of 747408 in words is "seven hundred forty-seven thousand, four hundred eight".