430030400 has 84 divisors (see below), whose sum is σ = 1062375828. Its totient is φ = 171325440.

The previous prime is 430030373. The next prime is 430030429. The reversal of 430030400 is 4030034.

It can be written as a sum of positive squares in 6 ways, for example, as 37356544 + 392673856 = 6112^2 + 19816^2 .

It is a super-2 number, since 2×430030400² = 369852289848320000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 634862 + ... + 635538.

Almost surely, 2^430030400 is an apocalyptic number.

430030400 is a gapful number since it is divisible by the number (40) 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 430030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531187914).

430030400 is an abundant number, since it is smaller than the sum of its proper divisors (632345428).

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

430030400 is a wasteful number, since it uses less digits than its factorization.

430030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 430030400 is about 20737.1743494624. The cubic root of 430030400 is about 754.8020181729.

Adding to 430030400 its reverse (4030034), we get a palindrome (434060434).

It can be divided in two parts, 4 and 30030400, that multiplied together give a square (120121600 = 10960²).

The spelling of 430030400 in words is "four hundred thirty million, thirty thousand, four hundred".