150326798400 has 441 divisors, whose sum is σ = 556142245981. Its totient is φ = 39975482880.

The previous prime is 150326798389. The next prime is 150326798417. The reversal of 150326798400 is 4897623051.

The square root of 150326798400 is 387720.

It is a perfect power (a square), and thus also a powerful number.

150326798400 is a `hidden beast` number, since 1 + 503 + 2 + 67 + 9 + 84 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 54117647424 + 96209150976 = 232632^2 + 310176^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 418737421 + ... + 418737779.

It is a 1-persistent number, because it is pandigital, but 2⋅150326798400 = 300653596800 is not.

Almost surely, 2^150326798400 is an apocalyptic number.

150326798400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

150326798400 is the 387720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150326798400

150326798400 is an abundant number, since it is smaller than the sum of its proper divisors (405815447581).

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

150326798400 is an frugal number, since it uses more digits than its factorization.

150326798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 150326798400 in words is "one hundred fifty billion, three hundred twenty-six million, seven hundred ninety-eight thousand, four hundred".