150400800 has 360 divisors, whose sum is σ = 601180272. Its totient is φ = 36288000.

The previous prime is 150400793. The next prime is 150400813. The reversal of 150400800 is 8004051.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 712695 + ... + 712905.

Almost surely, 2^150400800 is an apocalyptic number.

150400800 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 150400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300590136).

150400800 is an abundant number, since it is smaller than the sum of its proper divisors (450779472).

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

150400800 is a wasteful number, since it uses less digits than its factorization.

150400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 150400800 is about 12263.8003897650. The cubic root of 150400800 is about 531.8021010020.

Adding to 150400800 its reverse (8004051), we get a palindrome (158404851).

The spelling of 150400800 in words is "one hundred fifty million, four hundred thousand, eight hundred".