416444400 has 90 divisors (see below), whose sum is σ = 1445190240. Its totient is φ = 111050880.

The previous prime is 416444387. The next prime is 416444401. The reversal of 416444400 is 4444614.

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416444401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 54240 + ... + 61439.

Almost surely, 2^416444400 is an apocalyptic number.

416444400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416444400 is an abundant number, since it is smaller than the sum of its proper divisors (1028745840).

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

416444400 is a wasteful number, since it uses less digits than its factorization.

416444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115703 (or 115689 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 416444400 is about 20406.9693977327. The cubic root of 416444400 is about 746.7679585513.

The spelling of 416444400 in words is "four hundred sixteen million, four hundred forty-four thousand, four hundred".