741264192 has 252 divisors, whose sum is σ = 2325459916. Its totient is φ = 225607680.

The previous prime is 741264191. The next prime is 741264193. The reversal of 741264192 is 291462147.

It is a happy number.

741264192 is a `hidden beast` number, since 7 + 4 + 1 + 2 + 641 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (741264191) and next prime (741264193).

It can be written as a sum of positive squares in 6 ways, for example, as 553536 + 740710656 = 744^2 + 27216^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (741264191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10154268 + ... + 10154340.

Almost surely, 2^741264192 is an apocalyptic number.

741264192 is a gapful number since it is divisible by the number (72) 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 741264192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162729958).

741264192 is an abundant number, since it is smaller than the sum of its proper divisors (1584195724).

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

741264192 is a wasteful number, since it uses less digits than its factorization.

741264192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 156 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 741264192 is about 27226.1674129871. The cubic root of 741264192 is about 905.0189518126.

The spelling of 741264192 in words is "seven hundred forty-one million, two hundred sixty-four thousand, one hundred ninety-two".