408099753 has 12 divisors (see below), whose sum is σ = 589948788. Its totient is φ = 271848960.

The previous prime is 408099719. The next prime is 408099767. The reversal of 408099753 is 357990804.

It can be written as a sum of positive squares in 2 ways, for example, as 324432144 + 83667609 = 18012^2 + 9147^2 .

It is not a de Polignac number, because 408099753 - 2¹² = 408095657 is a prime.

It is a super-3 number, since 3×408099753³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 408099699 and 408099708.

It is not an unprimeable number, because it can be changed into a prime (408099053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5808 + ... + 29153.

It is an arithmetic number, because the mean of its divisors is an integer number (49162399).

Almost surely, 2^408099753 is an apocalyptic number.

It is an amenable number.

408099753 is a deficient number, since it is larger than the sum of its proper divisors (181849035).

408099753 is a wasteful number, since it uses less digits than its factorization.

408099753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36264 (or 36261 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 408099753 is about 20201.4789805103. The cubic root of 408099753 is about 741.7463945151.

The spelling of 408099753 in words is "four hundred eight million, ninety-nine thousand, seven hundred fifty-three".