415505580 has 96 divisors (see below), whose sum is σ = 1387459584. Its totient is φ = 90841344.

The previous prime is 415505579. The next prime is 415505581. The reversal of 415505580 is 85505514.

It is an interprime number because it is at equal distance from previous prime (415505579) and next prime (415505581).

It is a super-3 number, since 3×415505580³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (415505581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11847 + ... + 31166.

It is an arithmetic number, because the mean of its divisors is an integer number (14452704).

Almost surely, 2^415505580 is an apocalyptic number.

It is an amenable number.

415505580 is an abundant number, since it is smaller than the sum of its proper divisors (971954004).

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

415505580 is a wasteful number, since it uses less digits than its factorization.

415505580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43055 (or 43053 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 33.

The square root of 415505580 is about 20383.9539834645. The cubic root of 415505580 is about 746.2063724288.

The spelling of 415505580 in words is "four hundred fifteen million, five hundred five thousand, five hundred eighty".