415946880 has 128 divisors (see below), whose sum is σ = 1473206400. Its totient is φ = 110914560.

The previous prime is 415946833. The next prime is 415946911. The reversal of 415946880 is 88649514.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5245 + ... + 29315.

It is an arithmetic number, because the mean of its divisors is an integer number (11509425).

Almost surely, 2^415946880 is an apocalyptic number.

415946880 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 415946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736603200).

415946880 is an abundant number, since it is smaller than the sum of its proper divisors (1057259520).

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

415946880 is a wasteful number, since it uses less digits than its factorization.

415946880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24099 (or 24081 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 415946880 is about 20394.7758016606. The cubic root of 415946880 is about 746.4704558134.

The spelling of 415946880 in words is "four hundred fifteen million, nine hundred forty-six thousand, eight hundred eighty".