741504456 has 360 divisors, whose sum is σ = 2669345910. Its totient is φ = 191600640.

The previous prime is 741504443. The next prime is 741504493. The reversal of 741504456 is 654405147.

It can be written as a sum of positive squares in only one way, i.e., 693479556 + 48024900 = 26334^2 + 6930^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 741504456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 3841896 + ... + 3842088.

Almost surely, 2^741504456 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 741504456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334672955).

741504456 is an abundant number, since it is smaller than the sum of its proper divisors (1927841454).

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

741504456 is a wasteful number, since it uses less digits than its factorization.

741504456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 741504456 is about 27230.5794282825. The cubic root of 741504456 is about 905.1167217156.

It can be divided in two parts, 74150 and 4456, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 741504456 in words is "seven hundred forty-one million, five hundred four thousand, four hundred fifty-six".