408634452 has 72 divisors (see below), whose sum is σ = 1066141440. Its totient is φ = 131901120.

The previous prime is 408634439. The next prime is 408634453. The reversal of 408634452 is 254436804.

It is a super-2 number, since 2×408634452² = 333964230722680608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408634453) 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, 149377 + ... + 152087.

It is an arithmetic number, because the mean of its divisors is an integer number (14807520).

Almost surely, 2^408634452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408634452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533070720).

408634452 is an abundant number, since it is smaller than the sum of its proper divisors (657506988).

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

408634452 is a wasteful number, since it uses less digits than its factorization.

408634452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2853 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 408634452 is about 20214.7088032452. The cubic root of 408634452 is about 742.0702025735.

The spelling of 408634452 in words is "four hundred eight million, six hundred thirty-four thousand, four hundred fifty-two".