405878040 has 224 divisors, whose sum is σ = 1416528000. Its totient is φ = 104509440.

The previous prime is 405878023. The next prime is 405878059. The reversal of 405878040 is 40878504.

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 = 405877986 and 405878004.

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 903736 + ... + 904184.

Almost surely, 2^405878040 is an apocalyptic number.

405878040 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 405878040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708264000).

405878040 is an abundant number, since it is smaller than the sum of its proper divisors (1010649960).

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

405878040 is a wasteful number, since it uses less digits than its factorization.

405878040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 405878040 is about 20146.4150657133. The cubic root of 405878040 is about 740.3979111499.

The spelling of 405878040 in words is "four hundred five million, eight hundred seventy-eight thousand, forty".