430160400 has 90 divisors (see below), whose sum is σ = 1492788570. Its totient is φ = 114708480.

The previous prime is 430160383. The next prime is 430160413. The reversal of 430160400 is 4061034.

It can be written as a sum of positive squares in 3 ways, for example, as 2663424 + 427496976 = 1632^2 + 20676^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 17 ways as a sum of consecutive naturals, for example, 56145 + ... + 63344.

Almost surely, 2^430160400 is an apocalyptic number.

430160400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

430160400 is an abundant number, since it is smaller than the sum of its proper divisors (1062628170).

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

430160400 is a wasteful number, since it uses less digits than its factorization.

430160400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119513 (or 119499 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 430160400 is about 20740.3085801538. The cubic root of 430160400 is about 754.8780704522.

The spelling of 430160400 in words is "four hundred thirty million, one hundred sixty thousand, four hundred".