416253760 has 168 divisors, whose sum is σ = 1104412320. Its totient is φ = 149280768.

The previous prime is 416253757. The next prime is 416253787. The reversal of 416253760 is 67352614.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2325351 + ... + 2325529.

Almost surely, 2^416253760 is an apocalyptic number.

416253760 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 416253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552206160).

416253760 is an abundant number, since it is smaller than the sum of its proper divisors (688158560).

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

416253760 is a wasteful number, since it uses less digits than its factorization.

416253760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 416253760 is about 20402.2979097944. The cubic root of 416253760 is about 746.6539892972.

The spelling of 416253760 in words is "four hundred sixteen million, two hundred fifty-three thousand, seven hundred sixty".