408145353 has 24 divisors (see below), whose sum is σ = 690593760. Its totient is φ = 212022720.

The previous prime is 408145277. The next prime is 408145357. The reversal of 408145353 is 353541804.

It is not a de Polignac number, because 408145353 - 2¹⁰ = 408144329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (408145357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124588 + ... + 127821.

It is an arithmetic number, because the mean of its divisors is an integer number (28774740).

Almost surely, 2^408145353 is an apocalyptic number.

It is an amenable number.

408145353 is a deficient number, since it is larger than the sum of its proper divisors (282448407).

408145353 is a wasteful number, since it uses less digits than its factorization.

408145353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252437 (or 252430 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 408145353 is about 20202.6075792211. The cubic root of 408145353 is about 741.7740204208.

The spelling of 408145353 in words is "four hundred eight million, one hundred forty-five thousand, three hundred fifty-three".