415465360 has 20 divisors (see below), whose sum is σ = 965957148. Its totient is φ = 166186112.

The previous prime is 415465333. The next prime is 415465367. The reversal of 415465360 is 63564514.

It can be written as a sum of positive squares in 2 ways, for example, as 109495296 + 305970064 = 10464^2 + 17492^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×415465360² = 345222930719859200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (415465367) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2596579 + ... + 2596738.

Almost surely, 2^415465360 is an apocalyptic number.

415465360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415465360 is an abundant number, since it is smaller than the sum of its proper divisors (550491788).

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

415465360 is a wasteful number, since it uses less digits than its factorization.

415465360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5193330 (or 5193324 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 415465360 is about 20382.9673992773. The cubic root of 415465360 is about 746.1822946224.

The spelling of 415465360 in words is "four hundred fifteen million, four hundred sixty-five thousand, three hundred sixty".