150396480 has 336 divisors, whose sum is σ = 580095360. Its totient is φ = 36661248.

The previous prime is 150396473. The next prime is 150396503. The reversal of 150396480 is 84693051.

150396480 is a `hidden beast` number, since 1 + 5 + 0 + 3 + 9 + 648 + 0 = 666.

150396480 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1460109 + ... + 1460211.

Almost surely, 2^150396480 is an apocalyptic number.

150396480 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 150396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290047680).

150396480 is an abundant number, since it is smaller than the sum of its proper divisors (429698880).

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

150396480 is a wasteful number, since it uses less digits than its factorization.

150396480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 150396480 is about 12263.6242603889. The cubic root of 150396480 is about 531.7970092581.

The spelling of 150396480 in words is "one hundred fifty million, three hundred ninety-six thousand, four hundred eighty".