415367064 has 96 divisors (see below), whose sum is σ = 1317083040. Its totient is φ = 115776000.

The previous prime is 415367053. The next prime is 415367081. The reversal of 415367064 is 460763514.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10614 + ... + 30714.

It is an arithmetic number, because the mean of its divisors is an integer number (13719615).

Almost surely, 2^415367064 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 415367064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658541520).

415367064 is an abundant number, since it is smaller than the sum of its proper divisors (901715976).

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

415367064 is a wasteful number, since it uses less digits than its factorization.

415367064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20161 (or 20154 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 415367064 is about 20380.5560277437. The cubic root of 415367064 is about 746.1234429289.

It can be divided in two parts, 4153 and 67064, that added together give a palindrome (71217).

The spelling of 415367064 in words is "four hundred fifteen million, three hundred sixty-seven thousand, sixty-four".