150430800 has 120 divisors (see below), whose sum is σ = 519001504. Its totient is φ = 37025280.

The previous prime is 150430799. The next prime is 150430823. The reversal of 150430800 is 8034051.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 10779 + ... + 20421.

Almost surely, 2^150430800 is an apocalyptic number.

150430800 is a gapful number since it is divisible by the number (10) 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 150430800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259500752).

150430800 is an abundant number, since it is smaller than the sum of its proper divisors (368570704).

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

150430800 is a wasteful number, since it uses less digits than its factorization.

150430800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9677 (or 9666 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 150430800 is about 12265.0234406625. The cubic root of 150430800 is about 531.8374576455.

Adding to 150430800 its reverse (8034051), we get a palindrome (158464851).

The spelling of 150430800 in words is "one hundred fifty million, four hundred thirty thousand, eight hundred".