742400 has 66 divisors (see below), whose sum is σ = 1903710. Its totient is φ = 286720.

The previous prime is 742393. The next prime is 742409. The reversal of 742400 is 4247.

It can be written as a sum of positive squares in 3 ways, for example, as 50176 + 692224 = 224^2 + 832^2 .

It is an Ulam number.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25586 + ... + 25614.

2⁷⁴²⁴⁰⁰ 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 742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951855).

742400 is an abundant number, since it is smaller than the sum of its proper divisors (1161310).

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

742400 is a wasteful number, since it uses less digits than its factorization.

742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 742400 is about 861.6263691415. The cubic root of 742400 is about 90.5480956770.

Adding to 742400 its reverse (4247), we get a palindrome (746647).

The spelling of 742400 in words is "seven hundred forty-two thousand, four hundred", and thus it is an iban number.