150305440 has 48 divisors (see below), whose sum is σ = 357740712. Its totient is φ = 59674624.

The previous prime is 150305413. The next prime is 150305443. The reversal of 150305440 is 44503051.

150305440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 77510416 + 72795024 = 8804^2 + 8532^2 .

It is not an unprimeable number, because it can be changed into a prime (150305443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18492 + ... + 25348.

Almost surely, 2^150305440 is an apocalyptic number.

150305440 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 150305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178870356).

150305440 is an abundant number, since it is smaller than the sum of its proper divisors (207435272).

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

150305440 is a wasteful number, since it uses less digits than its factorization.

150305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7009 (or 7001 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 150305440 is about 12259.9119083295. The cubic root of 150305440 is about 531.6896827834.

Adding to 150305440 its reverse (44503051), we get a palindrome (194808491).

The spelling of 150305440 in words is "one hundred fifty million, three hundred five thousand, four hundred forty".