150828480 has 420 divisors, whose sum is σ = 611852472. Its totient is φ = 34974720.

The previous prime is 150828473. The next prime is 150828511. The reversal of 150828480 is 84828051.

150828480 is a `hidden beast` number, since 150 + 8 + 28 + 480 = 666.

It is a super-2 number, since 2×150828480² = 45498460758220800, which contains 22 as substring.

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

It is a congruent number.

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, 6557749 + ... + 6557771.

Almost surely, 2^150828480 is an apocalyptic number.

150828480 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 150828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305926236).

150828480 is an abundant number, since it is smaller than the sum of its proper divisors (461023992).

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

150828480 is a wasteful number, since it uses less digits than its factorization.

150828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 150828480 is about 12281.2246946304. The cubic root of 150828480 is about 532.3057017774.

The spelling of 150828480 in words is "one hundred fifty million, eight hundred twenty-eight thousand, four hundred eighty".