416381280 has 96 divisors (see below), whose sum is σ = 1498984704. Its totient is φ = 95172096.

The previous prime is 416381261. The next prime is 416381293. The reversal of 416381280 is 82183614.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 58602 + ... + 65321.

It is an arithmetic number, because the mean of its divisors is an integer number (15614424).

Almost surely, 2^416381280 is an apocalyptic number.

416381280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416381280 is an abundant number, since it is smaller than the sum of its proper divisors (1082603424).

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

416381280 is a wasteful number, since it uses less digits than its factorization.

416381280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123948 (or 123940 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 416381280 is about 20405.4228086555. The cubic root of 416381280 is about 746.7302277240.

The spelling of 416381280 in words is "four hundred sixteen million, three hundred eighty-one thousand, two hundred eighty".