408048480 has 216 divisors, whose sum is σ = 1620086832. Its totient is φ = 93252096.

The previous prime is 408048479. The next prime is 408048481. The reversal of 408048480 is 84840804.

It is an interprime number because it is at equal distance from previous prime (408048479) and next prime (408048481).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408048481) 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 35 ways as a sum of consecutive naturals, for example, 67669 + ... + 73451.

It is an arithmetic number, because the mean of its divisors is an integer number (7500402).

Almost surely, 2^408048480 is an apocalyptic number.

408048480 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 408048480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810043416).

408048480 is an abundant number, since it is smaller than the sum of its proper divisors (1212038352).

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

408048480 is a wasteful number, since it uses less digits than its factorization.

408048480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5818 (or 5800 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 408048480 is about 20200.2098998996. The cubic root of 408048480 is about 741.7153292707.

It can be divided in two parts, 40804 and 8480, that added together give a square (49284 = 222²).

The spelling of 408048480 in words is "four hundred eight million, forty-eight thousand, four hundred eighty".