150407456 has 48 divisors (see below), whose sum is σ = 311464440. Its totient is φ = 71393280.

The previous prime is 150407447. The next prime is 150407459. The reversal of 150407456 is 654704051.

It can be written as a sum of positive squares in 4 ways, for example, as 101687056 + 48720400 = 10084^2 + 6980^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (150407459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55280 + ... + 57936.

Almost surely, 2^150407456 is an apocalyptic number.

150407456 is a gapful number since it is divisible by the number (16) 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 150407456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155732220).

150407456 is an abundant number, since it is smaller than the sum of its proper divisors (161056984).

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

150407456 is a wasteful number, since it uses less digits than its factorization.

150407456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 150407456 is about 12264.0717545194. The cubic root of 150407456 is about 531.8099458685.

The spelling of 150407456 in words is "one hundred fifty million, four hundred seven thousand, four hundred fifty-six".