405541980 has 108 divisors (see below), whose sum is σ = 1286255880. Its totient is φ = 103418304.

The previous prime is 405541963. The next prime is 405541993. The reversal of 405541980 is 89145504.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 93091 + ... + 97349.

Almost surely, 2^405541980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405541980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643127940).

405541980 is an abundant number, since it is smaller than the sum of its proper divisors (880713900).

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

405541980 is a wasteful number, since it uses less digits than its factorization.

405541980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4320 (or 4292 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 405541980 is about 20138.0728968787. The cubic root of 405541980 is about 740.1935091692.

The spelling of 405541980 in words is "four hundred five million, five hundred forty-one thousand, nine hundred eighty".