150495408 has 200 divisors, whose sum is σ = 508815648. Its totient is φ = 42052608.

The previous prime is 150495361. The next prime is 150495419. The reversal of 150495408 is 804594051.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 480660 + ... + 480972.

Almost surely, 2^150495408 is an apocalyptic number.

150495408 is a gapful number since it is divisible by the number (18) 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 150495408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254407824).

150495408 is an abundant number, since it is smaller than the sum of its proper divisors (358320240).

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

150495408 is a wasteful number, since it uses less digits than its factorization.

150495408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 150495408 is about 12267.6569890098. The cubic root of 150495408 is about 531.9135857532.

The spelling of 150495408 in words is "one hundred fifty million, four hundred ninety-five thousand, four hundred eight".