405022000 has 80 divisors (see below), whose sum is σ = 983990592. Its totient is φ = 161241600.

The previous prime is 405021971. The next prime is 405022021. The reversal of 405022000 is 220504.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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, 625677 + ... + 626323.

Almost surely, 2^405022000 is an apocalyptic number.

405022000 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 405022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491995296).

405022000 is an abundant number, since it is smaller than the sum of its proper divisors (578968592).

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

405022000 is a wasteful number, since it uses less digits than its factorization.

405022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 405022000 is about 20125.1583844699. The cubic root of 405022000 is about 739.8770187641.

Adding to 405022000 its reverse (220504), we get a palindrome (405242504).

The spelling of 405022000 in words is "four hundred five million, twenty-two thousand".