416164944 has 160 divisors (see below), whose sum is σ = 1223921664. Its totient is φ = 120890880.

The previous prime is 416164933. The next prime is 416164949. The reversal of 416164944 is 449461614.

It is a happy number.

It is a super-2 number, since 2×416164944² = 346386521229046272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416164949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1535529 + ... + 1535799.

Almost surely, 2^416164944 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 416164944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611960832).

416164944 is an abundant number, since it is smaller than the sum of its proper divisors (807756720).

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

416164944 is a wasteful number, since it uses less digits than its factorization.

416164944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 419 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 416164944 is about 20400.1211761107. The cubic root of 416164944 is about 746.6008810380.

The spelling of 416164944 in words is "four hundred sixteen million, one hundred sixty-four thousand, nine hundred forty-four".