408024480 has 192 divisors, whose sum is σ = 1405651968. Its totient is φ = 99041280.

The previous prime is 408024469. The next prime is 408024481. The reversal of 408024480 is 84420804.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (408024481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252154 + ... + 253766.

It is an arithmetic number, because the mean of its divisors is an integer number (7321104).

Almost surely, 2^408024480 is an apocalyptic number.

408024480 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 408024480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702825984).

408024480 is an abundant number, since it is smaller than the sum of its proper divisors (997627488).

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

408024480 is a wasteful number, since it uses less digits than its factorization.

408024480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 408024480 is about 20199.6158379312. The cubic root of 408024480 is about 741.7007872757.

The spelling of 408024480 in words is "four hundred eight million, twenty-four thousand, four hundred eighty".