415886364 has 72 divisors (see below), whose sum is σ = 1136575440. Its totient is φ = 127775232.

The previous prime is 415886347. The next prime is 415886369. The reversal of 415886364 is 463688514.

415886364 is a `hidden beast` number, since 4 + 1 + 5 + 8 + 8 + 636 + 4 = 666.

It is a super-2 number, since 2×415886364² = 345922935522280992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415886369) 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, 17092 + ... + 33524.

It is an arithmetic number, because the mean of its divisors is an integer number (15785770).

Almost surely, 2^415886364 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 415886364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568287720).

415886364 is an abundant number, since it is smaller than the sum of its proper divisors (720689076).

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

415886364 is a wasteful number, since it uses less digits than its factorization.

415886364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16499 (or 16494 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 415886364 is about 20393.2921324636. The cubic root of 415886364 is about 746.4342527955.

The spelling of 415886364 in words is "four hundred fifteen million, eight hundred eighty-six thousand, three hundred sixty-four".