418429440 has 480 divisors, whose sum is σ = 1715890176. Its totient is φ = 92897280.

The previous prime is 418429433. The next prime is 418429441. The reversal of 418429440 is 44924814.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 418429395 and 418429404.

It is not an unprimeable number, because it can be changed into a prime (418429441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3294657 + ... + 3294783.

Almost surely, 2^418429440 is an apocalyptic number.

418429440 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 418429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857945088).

418429440 is an abundant number, since it is smaller than the sum of its proper divisors (1297460736).

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

418429440 is a wasteful number, since it uses less digits than its factorization.

418429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 418429440 is about 20455.5479027084. The cubic root of 418429440 is about 747.9526026379.

The spelling of 418429440 in words is "four hundred eighteen million, four hundred twenty-nine thousand, four hundred forty".