408378240 has 128 divisors (see below), whose sum is σ = 1446400800. Its totient is φ = 108896256.

The previous prime is 408378227. The next prime is 408378241. The reversal of 408378240 is 42873804.

408378240 is a `hidden beast` number, since 40 + 8 + 378 + 240 = 666.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 408378195 and 408378204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408378241) 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 15 ways as a sum of consecutive naturals, for example, 5464 + ... + 29096.

Almost surely, 2^408378240 is an apocalyptic number.

408378240 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 408378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723200400).

408378240 is an abundant number, since it is smaller than the sum of its proper divisors (1038022560).

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

408378240 is a wasteful number, since it uses less digits than its factorization.

408378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23661 (or 23643 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 408378240 is about 20208.3705429211. The cubic root of 408378240 is about 741.9150785664.

The spelling of 408378240 in words is "four hundred eight million, three hundred seventy-eight thousand, two hundred forty".