408132480 has 128 divisors (see below), whose sum is σ = 1486817280. Its totient is φ = 93284352.

The previous prime is 408132427. The next prime is 408132523. The reversal of 408132480 is 84231804.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1744 + ... + 28623.

It is an arithmetic number, because the mean of its divisors is an integer number (11615760).

Almost surely, 2^408132480 is an apocalyptic number.

408132480 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 408132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743408640).

408132480 is an abundant number, since it is smaller than the sum of its proper divisors (1078684800).

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

408132480 is a wasteful number, since it uses less digits than its factorization.

408132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30396 (or 30384 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 408132480 is about 20202.2889792221. The cubic root of 408132480 is about 741.7662217634.

The spelling of 408132480 in words is "four hundred eight million, one hundred thirty-two thousand, four hundred eighty".