415464 has 32 divisors (see below), whose sum is σ = 1187520. Its totient is φ = 118656.

The previous prime is 415447. The next prime is 415469. The reversal of 415464 is 464514.

It is a super-2 number, since 2×415464² = 345220670592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (415469) by changing a digit.

415464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1069 + ... + 1404.

It is an arithmetic number, because the mean of its divisors is an integer number (37110).

2⁴¹⁵⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

415464 is an abundant number, since it is smaller than the sum of its proper divisors (772056).

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

415464 is a wasteful number, since it uses less digits than its factorization.

415464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2489 (or 2485 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 415464 is about 644.5649695725. The cubic root of 415464 is about 74.6181480428.

Adding to 415464 its reverse (464514), we get a palindrome (879978).

The spelling of 415464 in words is "four hundred fifteen thousand, four hundred sixty-four".