416413440 has 144 divisors (see below), whose sum is σ = 1477812000. Its totient is φ = 111034368.

The previous prime is 416413433. The next prime is 416413441. The reversal of 416413440 is 44314614.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416413441) 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, 28536 + ... + 40584.

Almost surely, 2^416413440 is an apocalyptic number.

416413440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738906000).

416413440 is an abundant number, since it is smaller than the sum of its proper divisors (1061398560).

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

416413440 is a wasteful number, since it uses less digits than its factorization.

416413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12079 (or 12059 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 416413440 is about 20406.2108192579. The cubic root of 416413440 is about 746.7494522722.

The spelling of 416413440 in words is "four hundred sixteen million, four hundred thirteen thousand, four hundred forty".