742464 has 42 divisors (see below), whose sum is σ = 2129790. Its totient is φ = 247296.

The previous prime is 742457. The next prime is 742499. The reversal of 742464 is 464247.

It can be written as a sum of positive squares in only one way, i.e., 705600 + 36864 = 840^2 + 192^2 .

It is a nialpdrome in base 16.

It is an unprimeable number.

742464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69 + ... + 1220.

2⁷⁴²⁴⁶⁴ 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 742464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064895).

742464 is an abundant number, since it is smaller than the sum of its proper divisors (1387326).

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

742464 is a wasteful number, since it uses less digits than its factorization.

742464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1294 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 742464 is about 861.6635074088. The cubic root of 742464 is about 90.5506975590.

The spelling of 742464 in words is "seven hundred forty-two thousand, four hundred sixty-four".