150044400 has 300 divisors, whose sum is σ = 588846984. Its totient is φ = 36288000.

The previous prime is 150044383. The next prime is 150044407. The reversal of 150044400 is 4440051.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150044407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 356190 + ... + 356610.

Almost surely, 2^150044400 is an apocalyptic number.

150044400 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 150044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294423492).

150044400 is an abundant number, since it is smaller than the sum of its proper divisors (438802584).

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

150044400 is a wasteful number, since it uses less digits than its factorization.

150044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 150044400 is about 12249.2612022113. The cubic root of 150044400 is about 531.3817039090.

Adding to 150044400 its reverse (4440051), we get a palindrome (154484451).

The spelling of 150044400 in words is "one hundred fifty million, forty-four thousand, four hundred".