742453504 has 81 divisors (see below), whose sum is σ = 1617120309. Its totient is φ = 340055040.

The previous prime is 742453499. The next prime is 742453513. The reversal of 742453504 is 405354247.

The square root of 742453504 is 27248.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 109830400 + 632623104 = 10480^2 + 25152^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 742453504.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5667519 + ... + 5667649.

Almost surely, 2^742453504 is an apocalyptic number.

742453504 is the 27248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742453504

742453504 is an abundant number, since it is smaller than the sum of its proper divisors (874666805).

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

742453504 is an equidigital number, since it uses as much as digits as its factorization.

742453504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 34.

The cubic root of 742453504 is about 905.5027086064.

The spelling of 742453504 in words is "seven hundred forty-two million, four hundred fifty-three thousand, five hundred four".