414011964 has 24 divisors (see below), whose sum is σ = 971429760. Its totient is φ = 137232304.

The previous prime is 414011963. The next prime is 414011989. The reversal of 414011964 is 469110414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414011963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94224 + ... + 98519.

It is an arithmetic number, because the mean of its divisors is an integer number (40476240).

Almost surely, 2^414011964 is an apocalyptic number.

It is an amenable number.

414011964 is an abundant number, since it is smaller than the sum of its proper divisors (557417796).

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

414011964 is a wasteful number, since it uses less digits than its factorization.

414011964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192929 (or 192927 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 414011964 is about 20347.2839465124. The cubic root of 414011964 is about 745.3111707047.

It can be divided in two parts, 41401 and 1964, that added together give a triangular number (43365 = T₂₉₄).

The spelling of 414011964 in words is "four hundred fourteen million, eleven thousand, nine hundred sixty-four".