414640464 has 40 divisors (see below), whose sum is σ = 1224177600. Its totient is φ = 118468608.

The previous prime is 414640423. The next prime is 414640483. The reversal of 414640464 is 464046414.

It is a super-2 number, since 2×414640464² = 343853428772270592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 616689 + ... + 617360.

It is an arithmetic number, because the mean of its divisors is an integer number (30604440).

Almost surely, 2^414640464 is an apocalyptic number.

It is an amenable number.

414640464 is an abundant number, since it is smaller than the sum of its proper divisors (809537136).

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

414640464 is a wasteful number, since it uses less digits than its factorization.

414640464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234067 (or 1234061 counting only the distinct ones).

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

The square root of 414640464 is about 20362.7224113084. The cubic root of 414640464 is about 745.6881253786.

Adding to 414640464 its reverse (464046414), we get a palindrome (878686878).

The spelling of 414640464 in words is "four hundred fourteen million, six hundred forty thousand, four hundred sixty-four".