742550401 has 8 divisors (see below), whose sum is σ = 751141160. Its totient is φ = 733992192.

The previous prime is 742550387. The next prime is 742550441. The reversal of 742550401 is 104055247.

It can be written as a sum of positive squares in 4 ways, for example, as 1404225 + 741146176 = 1185^2 + 27224^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 4-Lehmer number, since φ(742550401) divides (742550401-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 742550401 - 2¹⁷ = 742419329 is a prime.

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 742550401.

It is not an unprimeable number, because it can be changed into a prime (742550441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39331 + ... + 55063.

It is an arithmetic number, because the mean of its divisors is an integer number (93892645).

It is a Poulet number, since it divides 2^742550400-1.

Almost surely, 2^742550401 is an apocalyptic number.

742550401 is the 15733-rd octagonal number.

It is an amenable number.

742550401 is a deficient number, since it is larger than the sum of its proper divisors (8590759).

742550401 is a wasteful number, since it uses less digits than its factorization.

742550401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16275.

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 742550401 is about 27249.7779990957. Note that the first 3 decimals coincide. The cubic root of 742550401 is about 905.5420990324.

The spelling of 742550401 in words is "seven hundred forty-two million, five hundred fifty thousand, four hundred one".