415563504 has 120 divisors (see below), whose sum is σ = 1180869360. Its totient is φ = 125755392.

The previous prime is 415563503. The next prime is 415563553. The reversal of 415563504 is 405365514.

It is a super-4 number, since 4×415563504⁴ (a number of 36 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415563503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 401772 + ... + 402804.

It is an arithmetic number, because the mean of its divisors is an integer number (9840578).

Almost surely, 2^415563504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415563504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590434680).

415563504 is an abundant number, since it is smaller than the sum of its proper divisors (765305856).

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

415563504 is a wasteful number, since it uses less digits than its factorization.

415563504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 415563504 is about 20385.3747574088. The cubic root of 415563504 is about 746.2410460502.

The spelling of 415563504 in words is "four hundred fifteen million, five hundred sixty-three thousand, five hundred four".