741156480 has 480 divisors, whose sum is σ = 2902468140. Its totient is φ = 179601408.

The previous prime is 741156431. The next prime is 741156499. The reversal of 741156480 is 84651147.

It is a happy number.

741156480 is a `hidden beast` number, since 7 + 4 + 1 + 1 + 5 + 648 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 445041216 + 296115264 = 21096^2 + 17208^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×741156480³ (a number of 28 digits) contains 333 as substring.

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

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 59 ways as a sum of consecutive naturals, for example, 25557106 + ... + 25557134.

Almost surely, 2^741156480 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 741156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451234070).

741156480 is an abundant number, since it is smaller than the sum of its proper divisors (2161311660).

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

741156480 is a wasteful number, since it uses less digits than its factorization.

741156480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 741156480 is about 27224.1892441263. The cubic root of 741156480 is about 904.9751140354.

The spelling of 741156480 in words is "seven hundred forty-one million, one hundred fifty-six thousand, four hundred eighty".