415521120 has 96 divisors (see below), whose sum is σ = 1495888128. Its totient is φ = 94975488.

The previous prime is 415521109. The next prime is 415521121. The reversal of 415521120 is 21125514.

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

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415521121) by changing a digit.

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, 58474 + ... + 65193.

It is an arithmetic number, because the mean of its divisors is an integer number (15582168).

Almost surely, 2^415521120 is an apocalyptic number.

415521120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415521120 is an abundant number, since it is smaller than the sum of its proper divisors (1080367008).

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

415521120 is a wasteful number, since it uses less digits than its factorization.

415521120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123692 (or 123684 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 415521120 is about 20384.3351620797. The cubic root of 415521120 is about 746.2156750736.

Adding to 415521120 its reverse (21125514), we get a palindrome (436646634).

The spelling of 415521120 in words is "four hundred fifteen million, five hundred twenty-one thousand, one hundred twenty".