414404952 has 64 divisors (see below), whose sum is σ = 1127290080. Its totient is φ = 126185472.

The previous prime is 414404929. The next prime is 414404957. The reversal of 414404952 is 259404414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414404957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23418 + ... + 37110.

Almost surely, 2^414404952 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 414404952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563645040).

414404952 is an abundant number, since it is smaller than the sum of its proper divisors (712885128).

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

414404952 is a wasteful number, since it uses less digits than its factorization.

414404952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13812 (or 13808 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 414404952 is about 20356.9386696527. The cubic root of 414404952 is about 745.5469172899.

The spelling of 414404952 in words is "four hundred fourteen million, four hundred four thousand, nine hundred fifty-two".