414460464 has 80 divisors (see below), whose sum is σ = 1179519744. Its totient is φ = 124358400.

The previous prime is 414460463. The next prime is 414460481. The reversal of 414460464 is 464064414.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (414460463) 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 15 ways as a sum of consecutive naturals, for example, 50574 + ... + 58194.

Almost surely, 2^414460464 is an apocalyptic number.

414460464 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 414460464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589759872).

414460464 is an abundant number, since it is smaller than the sum of its proper divisors (765059280).

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

414460464 is a wasteful number, since it uses less digits than its factorization.

414460464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7746 (or 7740 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 414460464 is about 20358.3020903021. The cubic root of 414460464 is about 745.5802059467.

The spelling of 414460464 in words is "four hundred fourteen million, four hundred sixty thousand, four hundred sixty-four".