424406464 has 56 divisors (see below), whose sum is σ = 856171008. Its totient is φ = 208715520.

The previous prime is 424406449. The next prime is 424406467. The reversal of 424406464 is 464604424.

It is a super-3 number, since 3×424406464³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424406467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1869519 + ... + 1869745.

It is an arithmetic number, because the mean of its divisors is an integer number (15288768).

Almost surely, 2^424406464 is an apocalyptic number.

It is an amenable number.

424406464 is an abundant number, since it is smaller than the sum of its proper divisors (431764544).

424406464 is a wasteful number, since it uses less digits than its factorization.

424406464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

The square root of 424406464 is about 20601.1277361216. The cubic root of 424406464 is about 751.4971362702.

The spelling of 424406464 in words is "four hundred twenty-four million, four hundred six thousand, four hundred sixty-four".