742873248 has 288 divisors, whose sum is σ = 2498529600. Its totient is φ = 212875776.

The previous prime is 742873231. The next prime is 742873249. The reversal of 742873248 is 842378247.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (602112) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742873249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12591043 + ... + 12591101.

It is an arithmetic number, because the mean of its divisors is an integer number (8675450).

Almost surely, 2^742873248 is an apocalyptic number.

742873248 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742873248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249264800).

742873248 is an abundant number, since it is smaller than the sum of its proper divisors (1755656352).

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

742873248 is a wasteful number, since it uses less digits than its factorization.

742873248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 96 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The square root of 742873248 is about 27255.7012017669. The cubic root of 742873248 is about 905.6733175958.

The spelling of 742873248 in words is "seven hundred forty-two million, eight hundred seventy-three thousand, two hundred forty-eight".