405420540 has 96 divisors (see below), whose sum is σ = 1353784320. Its totient is φ = 88636416.

The previous prime is 405420529. The next prime is 405420541. The reversal of 405420540 is 45024504.

405420540 = T₈₅ + T₈₆ + ... + T₁₃₄₄.

It is a self number, because there is not a number n which added to its sum of digits gives 405420540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405420541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11325 + ... + 30644.

It is an arithmetic number, because the mean of its divisors is an integer number (14101920).

Almost surely, 2^405420540 is an apocalyptic number.

It is an amenable number.

405420540 is an abundant number, since it is smaller than the sum of its proper divisors (948363780).

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

405420540 is a wasteful number, since it uses less digits than its factorization.

405420540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42011 (or 42009 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 405420540 is about 20135.0574868809. The cubic root of 405420540 is about 740.1196178680.

The spelling of 405420540 in words is "four hundred five million, four hundred twenty thousand, five hundred forty".