406622920 has 96 divisors (see below), whose sum is σ = 1040671800. Its totient is φ = 142714880.

The previous prime is 406622903. The next prime is 406622927. The reversal of 406622920 is 29226604.

It can be written as a sum of positive squares in 4 ways, for example, as 248819076 + 157803844 = 15774^2 + 12562^2 .

It is not an unprimeable number, because it can be changed into a prime (406622927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138912 + ... + 141808.

Almost surely, 2^406622920 is an apocalyptic number.

406622920 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 406622920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520335900).

406622920 is an abundant number, since it is smaller than the sum of its proper divisors (634048880).

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

406622920 is a wasteful number, since it uses less digits than its factorization.

406622920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2959 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 406622920 is about 20164.8932553584. The cubic root of 406622920 is about 740.8505681093.

It can be divided in two parts, 406 and 622920, that added together give a palindrome (623326).

The spelling of 406622920 in words is "four hundred six million, six hundred twenty-two thousand, nine hundred twenty".