742238208 has 192 divisors, whose sum is σ = 2274854400. Its totient is φ = 238878720.

The previous prime is 742238201. The next prime is 742238219. The reversal of 742238208 is 802832247.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (742238201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1713960 + ... + 1714392.

It is an arithmetic number, because the mean of its divisors is an integer number (11848200).

Almost surely, 2^742238208 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 742238208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137427200).

742238208 is an abundant number, since it is smaller than the sum of its proper divisors (1532616192).

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

742238208 is a wasteful number, since it uses less digits than its factorization.

742238208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 742238208 is about 27244.0490382762. The cubic root of 742238208 is about 905.4151745243.

The spelling of 742238208 in words is "seven hundred forty-two million, two hundred thirty-eight thousand, two hundred eight".