414101952 has 84 divisors (see below), whose sum is σ = 1294872696. Its totient is φ = 125483520.

The previous prime is 414101951. The next prime is 414101971. The reversal of 414101952 is 259101414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414101951) 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 11 ways as a sum of consecutive naturals, for example, 26343 + ... + 39014.

Almost surely, 2^414101952 is an apocalyptic number.

It is an amenable number.

414101952 is an abundant number, since it is smaller than the sum of its proper divisors (880770744).

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

414101952 is a wasteful number, since it uses less digits than its factorization.

414101952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65386 (or 65373 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 414101952 is about 20349.4951288724. The cubic root of 414101952 is about 745.3651660870.

The spelling of 414101952 in words is "four hundred fourteen million, one hundred one thousand, nine hundred fifty-two".