408748992 has 56 divisors (see below), whose sum is σ = 1090062336. Its totient is φ = 135168768.

The previous prime is 408748943. The next prime is 408748999. The reversal of 408748992 is 299847804.

It is a super-2 number, since 2×408748992² = 334151476922032128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408748999) 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 7 ways as a sum of consecutive naturals, for example, 16003 + ... + 32765.

Almost surely, 2^408748992 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 408748992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545031168).

408748992 is an abundant number, since it is smaller than the sum of its proper divisors (681313344).

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

408748992 is a wasteful number, since it uses less digits than its factorization.

408748992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16905 (or 16895 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 408748992 is about 20217.5416903243. The cubic root of 408748992 is about 742.1395300456.

The spelling of 408748992 in words is "four hundred eight million, seven hundred forty-eight thousand, nine hundred ninety-two".