408240480 has 96 divisors (see below), whose sum is σ = 1301577984. Its totient is φ = 107542016.

The previous prime is 408240473. The next prime is 408240493. The reversal of 408240480 is 84042804.

It is a tau number, because it is divible by the number of its divisors (96).

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, 34717 + ... + 44963.

It is an arithmetic number, because the mean of its divisors is an integer number (13558104).

Almost surely, 2^408240480 is an apocalyptic number.

408240480 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 408240480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650788992).

408240480 is an abundant number, since it is smaller than the sum of its proper divisors (893337504).

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

408240480 is a wasteful number, since it uses less digits than its factorization.

408240480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10348 (or 10340 counting only the distinct ones).

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

The square root of 408240480 is about 20204.9617668532. The cubic root of 408240480 is about 741.8316447087.

The spelling of 408240480 in words is "four hundred eight million, two hundred forty thousand, four hundred eighty".