409464560 has 20 divisors (see below), whose sum is σ = 952005288. Its totient is φ = 163785792.

The previous prime is 409464557. The next prime is 409464563. The reversal of 409464560 is 65464904.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (409464557) and next prime (409464563).

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

It is a super-2 number, since 2×409464560² = 335322451791987200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409464563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2559074 + ... + 2559233.

Almost surely, 2^409464560 is an apocalyptic number.

409464560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409464560 is an abundant number, since it is smaller than the sum of its proper divisors (542540728).

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

409464560 is a wasteful number, since it uses less digits than its factorization.

409464560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5118320 (or 5118314 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 409464560 is about 20235.2306633752. The cubic root of 409464560 is about 742.5723480010.

The spelling of 409464560 in words is "four hundred nine million, four hundred sixty-four thousand, five hundred sixty".