150409064 has 64 divisors (see below), whose sum is σ = 323825040. Its totient is φ = 64880640.

The previous prime is 150409057. The next prime is 150409069. The reversal of 150409064 is 460904051.

It can be written as a sum of positive squares in 8 ways, for example, as 80820100 + 69588964 = 8990^2 + 8342^2 .

It is not an unprimeable number, because it can be changed into a prime (150409069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425912 + ... + 426264.

Almost surely, 2^150409064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150409064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161912520).

150409064 is an abundant number, since it is smaller than the sum of its proper divisors (173415976).

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

150409064 is a wasteful number, since it uses less digits than its factorization.

150409064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 150409064 is about 12264.1373116905. The cubic root of 150409064 is about 531.8118410479.

The spelling of 150409064 in words is "one hundred fifty million, four hundred nine thousand, sixty-four".