150484800 has 168 divisors, whose sum is σ = 500030496. Its totient is φ = 39618560.

The previous prime is 150484783. The next prime is 150484823. The reversal of 150484800 is 8484051.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 513454 + ... + 513746.

It is an arithmetic number, because the mean of its divisors is an integer number (2976372).

Almost surely, 2^150484800 is an apocalyptic number.

150484800 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 150484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250015248).

150484800 is an abundant number, since it is smaller than the sum of its proper divisors (349545696).

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

150484800 is a wasteful number, since it uses less digits than its factorization.

150484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 150484800 is about 12267.2246249916. The cubic root of 150484800 is about 531.9010877597.

The spelling of 150484800 in words is "one hundred fifty million, four hundred eighty-four thousand, eight hundred".