416244540 has 144 divisors (see below), whose sum is σ = 1234423008. Its totient is φ = 104767488.

The previous prime is 416244503. The next prime is 416244623. The reversal of 416244540 is 45442614.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 416244498 and 416244507.

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, 3683524 + ... + 3683636.

It is an arithmetic number, because the mean of its divisors is an integer number (8572382).

Almost surely, 2^416244540 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 416244540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617211504).

416244540 is an abundant number, since it is smaller than the sum of its proper divisors (818178468).

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

416244540 is a wasteful number, since it uses less digits than its factorization.

416244540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 416244540 is about 20402.0719536031. The cubic root of 416244540 is about 746.6484764737.

It can be divided in two parts, 41624 and 4540, that added together give a palindrome (46164).

The spelling of 416244540 in words is "four hundred sixteen million, two hundred forty-four thousand, five hundred forty".