742641400 has 96 divisors (see below), whose sum is σ = 1768569840. Its totient is φ = 289935360.

The previous prime is 742641349. The next prime is 742641463. The reversal of 742641400 is 4146247.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2103624 + ... + 2103976.

Almost surely, 2^742641400 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 742641400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884284920).

742641400 is an abundant number, since it is smaller than the sum of its proper divisors (1025928440).

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

742641400 is a wasteful number, since it uses less digits than its factorization.

742641400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 742641400 is about 27251.4476679680. The cubic root of 742641400 is about 905.5790886919.

Adding to 742641400 its reverse (4146247), we get a palindrome (746787647).

The spelling of 742641400 in words is "seven hundred forty-two million, six hundred forty-one thousand, four hundred".