742197456 has 480 divisors, whose sum is σ = 2946478080. Its totient is φ = 167961600.

The previous prime is 742197451. The next prime is 742197461. The reversal of 742197456 is 654791247.

742197456 is a `hidden beast` number, since 7 + 4 + 2 + 197 + 456 = 666.

It is an interprime number because it is at equal distance from previous prime (742197451) and next prime (742197461).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742197451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2738601 + ... + 2738871.

It is an arithmetic number, because the mean of its divisors is an integer number (6138496).

Almost surely, 2^742197456 is an apocalyptic number.

742197456 is a gapful number since it is divisible by the number (76) 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 742197456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473239040).

742197456 is an abundant number, since it is smaller than the sum of its proper divisors (2204280624).

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

742197456 is a wasteful number, since it uses less digits than its factorization.

742197456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 326 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 742197456 is about 27243.3011215601. The cubic root of 742197456 is about 905.3986038537.

The spelling of 742197456 in words is "seven hundred forty-two million, one hundred ninety-seven thousand, four hundred fifty-six".