416424240 has 240 divisors, whose sum is σ = 1499237376. Its totient is φ = 107308800.

The previous prime is 416424227. The next prime is 416424251. The reversal of 416424240 is 42424614.

It is a happy number.

416424240 is a `hidden beast` number, since 416 + 4 + 2 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602295 + ... + 602985.

Almost surely, 2^416424240 is an apocalyptic number.

416424240 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 416424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749618688).

416424240 is an abundant number, since it is smaller than the sum of its proper divisors (1082813136).

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

416424240 is a wasteful number, since it uses less digits than its factorization.

416424240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 732 counting only the distinct ones).

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

The square root of 416424240 is about 20406.4754428588. The cubic root of 416424240 is about 746.7559080551.

Adding to 416424240 its reverse (42424614), we get a palindrome (458848854).

The spelling of 416424240 in words is "four hundred sixteen million, four hundred twenty-four thousand, two hundred forty".