150464800 has 108 divisors (see below), whose sum is σ = 388416546. Its totient is φ = 56908800.

The previous prime is 150464779. The next prime is 150464801. The reversal of 150464800 is 8464051.

150464800 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 3 ways, for example, as 96118416 + 54346384 = 9804^2 + 7372^2 .

It is not an unprimeable number, because it can be changed into a prime (150464801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 288540 + ... + 289060.

Almost surely, 2^150464800 is an apocalyptic number.

150464800 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 150464800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194208273).

150464800 is an abundant number, since it is smaller than the sum of its proper divisors (237951746).

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

150464800 is a wasteful number, since it uses less digits than its factorization.

150464800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 150464800 is about 12266.4094175924. The cubic root of 150464800 is about 531.8775228258.

The spelling of 150464800 in words is "one hundred fifty million, four hundred sixty-four thousand, eight hundred".