405222504 has 64 divisors (see below), whose sum is σ = 1028160000. Its totient is φ = 133075200.

The previous prime is 405222491. The next prime is 405222529.

It is a happy number.

405222504 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 845737 + ... + 846215.

It is an arithmetic number, because the mean of its divisors is an integer number (16065000).

Almost surely, 2^405222504 is an apocalyptic number.

It is an amenable number.

405222504 is an abundant number, since it is smaller than the sum of its proper divisors (622937496).

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

405222504 is a wasteful number, since it uses less digits than its factorization.

405222504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 934 counting only the distinct ones).

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

The square root of 405222504 is about 20130.1391947497. The cubic root of 405222504 is about 739.9990893585. Note that the first 3 decimals are identical.

The spelling of 405222504 in words is "four hundred five million, two hundred twenty-two thousand, five hundred four".