408725000 has 48 divisors (see below), whose sum is σ = 957946500. Its totient is φ = 163480000.

The previous prime is 408724997. The next prime is 408725003. The reversal of 408725000 is 527804.

It is an interprime number because it is at equal distance from previous prime (408724997) and next prime (408725003).

It can be written as a sum of positive squares in 6 ways, for example, as 108534724 + 300190276 = 10418^2 + 17326^2 .

It is a super-2 number, since 2×408725000² = 334112251250000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (408725003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16826 + ... + 33174.

Almost surely, 2^408725000 is an apocalyptic number.

408725000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408725000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478973250).

408725000 is an abundant number, since it is smaller than the sum of its proper divisors (549221500).

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

408725000 is an equidigital number, since it uses as much as digits as its factorization.

408725000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16380 (or 16356 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 408725000 is about 20216.9483354932. The cubic root of 408725000 is about 742.1250095124.

The spelling of 408725000 in words is "four hundred eight million, seven hundred twenty-five thousand".