741582464 has 160 divisors (see below), whose sum is σ = 1828492800. Its totient is φ = 298722816.

The previous prime is 741582421. The next prime is 741582467. The reversal of 741582464 is 464285147.

It is a super-2 number, since 2×741582464² = 1099889101824622592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (741582467) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5839169 + ... + 5839295.

It is an arithmetic number, because the mean of its divisors is an integer number (11428080).

Almost surely, 2^741582464 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 741582464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914246400).

741582464 is an abundant number, since it is smaller than the sum of its proper divisors (1086910336).

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

741582464 is an equidigital number, since it uses as much as digits as its factorization.

741582464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 155 counting only the distinct ones).

The product of its digits is 215040, while the sum is 41.

The square root of 741582464 is about 27232.0117508788. The cubic root of 741582464 is about 905.1484607334.

The spelling of 741582464 in words is "seven hundred forty-one million, five hundred eighty-two thousand, four hundred sixty-four".