405420576 has 96 divisors (see below), whose sum is σ = 1170505728. Its totient is φ = 121847040.

The previous prime is 405420569. The next prime is 405420593. The reversal of 405420576 is 675024504.

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 132601 + ... + 135623.

It is an arithmetic number, because the mean of its divisors is an integer number (12192768).

Almost surely, 2^405420576 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 405420576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585252864).

405420576 is an abundant number, since it is smaller than the sum of its proper divisors (765085152).

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

405420576 is a wasteful number, since it uses less digits than its factorization.

405420576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3174 (or 3166 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 405420576 is about 20135.0583808441. The cubic root of 405420576 is about 740.1196397747.

It can be divided in two parts, 40542057 and 6, that multiplied together give a palindrome (243252342).

The spelling of 405420576 in words is "four hundred five million, four hundred twenty thousand, five hundred seventy-six".