741273600 has 312 divisors, whose sum is σ = 2600151040. Its totient is φ = 185794560.

The previous prime is 741273571. The next prime is 741273629. The reversal of 741273600 is 6372147.

It is an interprime number because it is at equal distance from previous prime (741273571) and next prime (741273629).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5836737 + ... + 5836863.

Almost surely, 2^741273600 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 741273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300075520).

741273600 is an abundant number, since it is smaller than the sum of its proper divisors (1858877440).

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

741273600 is a wasteful number, since it uses less digits than its factorization.

741273600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 741273600 is about 27226.3401873994. The cubic root of 741273600 is about 905.0227805790.

The spelling of 741273600 in words is "seven hundred forty-one million, two hundred seventy-three thousand, six hundred".