416399060 has 216 divisors, whose sum is σ = 1182099744. Its totient is φ = 121806720.

The previous prime is 416399059. The next prime is 416399069. The reversal of 416399060 is 60993614.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416399069) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3891527 + ... + 3891633.

It is an arithmetic number, because the mean of its divisors is an integer number (5472684).

Almost surely, 2^416399060 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 416399060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591049872).

416399060 is an abundant number, since it is smaller than the sum of its proper divisors (765700684).

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

416399060 is a wasteful number, since it uses less digits than its factorization.

416399060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 38.

The square root of 416399060 is about 20405.8584725074. The cubic root of 416399060 is about 746.7408563435.

The spelling of 416399060 in words is "four hundred sixteen million, three hundred ninety-nine thousand, sixty".