424030464 has 405 divisors, whose sum is σ = 1504904709. Its totient is φ = 118609920.

The previous prime is 424030441. The next prime is 424030469. The reversal of 424030464 is 464030424.

The square root of 424030464 is 20592.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 62726400 + 361304064 = 7920^2 + 19008^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (424030469) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 32617722 + ... + 32617734.

Almost surely, 2^424030464 is an apocalyptic number.

424030464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

424030464 is the 20592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424030464

424030464 is an abundant number, since it is smaller than the sum of its proper divisors (1080874245).

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

424030464 is a wasteful number, since it uses less digits than its factorization.

424030464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The cubic root of 424030464 is about 751.2751427858.

Multiplying 424030464 by its product of nonzero digits (9216), we get a square (3907864756224 = 1976832²).

Adding to 424030464 its reverse (464030424), we get a palindrome (888060888).

The spelling of 424030464 in words is "four hundred twenty-four million, thirty thousand, four hundred sixty-four".