415476864 has 160 divisors (see below), whose sum is σ = 1349227440. Its totient is φ = 125867520.

The previous prime is 415476863. The next prime is 415476871. The reversal of 415476864 is 468674514.

415476864 is a `hidden beast` number, since 41 + 547 + 6 + 8 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (415476863) 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 19 ways as a sum of consecutive naturals, for example, 112227 + ... + 115869.

Almost surely, 2^415476864 is an apocalyptic number.

415476864 is a gapful number since it is divisible by the number (44) 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 415476864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674613720).

415476864 is an abundant number, since it is smaller than the sum of its proper divisors (933750576).

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

415476864 is a wasteful number, since it uses less digits than its factorization.

415476864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680 (or 3659 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 415476864 is about 20383.2495937228. The cubic root of 415476864 is about 746.1891816802.

It can be divided in two parts, 4154 and 76864, that added together give a palindrome (81018).

The spelling of 415476864 in words is "four hundred fifteen million, four hundred seventy-six thousand, eight hundred sixty-four".