409122252 has 360 divisors, whose sum is σ = 1438897152. Its totient is φ = 98366400.

The previous prime is 409122251. The next prime is 409122271. The reversal of 409122252 is 252221904.

It is a happy number.

409122252 is a `hidden beast` number, since 409 + 1 + 2 + 2 + 252 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (409122251) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13197477 + ... + 13197507.

Almost surely, 2^409122252 is an apocalyptic number.

409122252 is a gapful number since it is divisible by the number (42) 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 409122252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719448576).

409122252 is an abundant number, since it is smaller than the sum of its proper divisors (1029774900).

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

409122252 is a wasteful number, since it uses less digits than its factorization.

409122252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 409122252 is about 20226.7706765069. The cubic root of 409122252 is about 742.3653627932.

The spelling of 409122252 in words is "four hundred nine million, one hundred twenty-two thousand, two hundred fifty-two".