742500400 has 60 divisors (see below), whose sum is σ = 1799753112. Its totient is φ = 294353920.

The previous prime is 742500397. The next prime is 742500431. The reversal of 742500400 is 4005247.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36987 + ... + 53413.

Almost surely, 2^742500400 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 742500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899876556).

742500400 is an abundant number, since it is smaller than the sum of its proper divisors (1057252712).

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

742500400 is a wasteful number, since it uses less digits than its factorization.

742500400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16558 (or 16547 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 742500400 is about 27248.8605266349. The cubic root of 742500400 is about 905.5217731273.

Adding to 742500400 its reverse (4005247), we get a palindrome (746505647).

The spelling of 742500400 in words is "seven hundred forty-two million, five hundred thousand, four hundred".