415303680 has 192 divisors, whose sum is σ = 1450612800. Its totient is φ = 100597760.

The previous prime is 415303673. The next prime is 415303739. The reversal of 415303680 is 86303514.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337306 + ... + 338534.

It is an arithmetic number, because the mean of its divisors is an integer number (7555275).

Almost surely, 2^415303680 is an apocalyptic number.

415303680 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 415303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725306400).

415303680 is an abundant number, since it is smaller than the sum of its proper divisors (1035309120).

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

415303680 is a wasteful number, since it uses less digits than its factorization.

415303680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 415303680 is about 20379.0009568673. Note that the first 3 decimals coincide. The cubic root of 415303680 is about 746.0854887930.

The spelling of 415303680 in words is "four hundred fifteen million, three hundred three thousand, six hundred eighty".