464416420 has 24 divisors (see below), whose sum is σ = 1050296184. Its totient is φ = 171476736.

The previous prime is 464416417. The next prime is 464416441. The reversal of 464416420 is 24614464.

It can be written as a sum of positive squares in 4 ways, for example, as 272484 + 464143936 = 522^2 + 21544^2 .

It is a super-2 number, since 2×464416420² = 431365222331232800, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 892849 + ... + 893368.

It is an arithmetic number, because the mean of its divisors is an integer number (43762341).

Almost surely, 2^464416420 is an apocalyptic number.

It is an amenable number.

464416420 is an abundant number, since it is smaller than the sum of its proper divisors (585879764).

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

464416420 is a wasteful number, since it uses less digits than its factorization.

464416420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786239 (or 1786237 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 464416420 is about 21550.3229674174. The cubic root of 464416420 is about 774.4068552066.

The spelling of 464416420 in words is "four hundred sixty-four million, four hundred sixteen thousand, four hundred twenty".