74749200409 has 9 divisors (see below), whose sum is σ = 80945290719. Its totient is φ = 68995981080.

The previous prime is 74749200403. The next prime is 74749200433. The reversal of 74749200409 is 90400294747.

The square root of 74749200409 is 273403.

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., 11057574025 + 63691626384 = 105155^2 + 252372^2 .

It is not a de Polignac number, because 74749200409 - 2³ = 74749200401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (74749200401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3543724 + ... + 3564754.

It is an arithmetic number, because the mean of its divisors is an integer number (8993921191).

Almost surely, 2^74749200409 is an apocalyptic number.

74749200409 is the 273403-rd square number.

74749200409 is the 136702-nd centered octagonal number.

It is an amenable number.

74749200409 is a deficient number, since it is larger than the sum of its proper divisors (6196090310).

74749200409 is an frugal number, since it uses more digits than its factorization.

74749200409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42088 (or 21044 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The spelling of 74749200409 in words is "seventy-four billion, seven hundred forty-nine million, two hundred thousand, four hundred nine".