416876280 has 64 divisors (see below), whose sum is σ = 1262355840. Its totient is φ = 110124672.

The previous prime is 416876279. The next prime is 416876281. The reversal of 416876280 is 82678614.

It is an interprime number because it is at equal distance from previous prime (416876279) and next prime (416876281).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416876281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3394 + ... + 29073.

It is an arithmetic number, because the mean of its divisors is an integer number (19724310).

Almost surely, 2^416876280 is an apocalyptic number.

416876280 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 416876280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631177920).

416876280 is an abundant number, since it is smaller than the sum of its proper divisors (845479560).

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

416876280 is a wasteful number, since it uses less digits than its factorization.

416876280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32588 (or 32584 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 416876280 is about 20417.5483347046. The cubic root of 416876280 is about 747.0260183874.

The spelling of 416876280 in words is "four hundred sixteen million, eight hundred seventy-six thousand, two hundred eighty".