150798400 has 63 divisors (see below), whose sum is σ = 372270909. Its totient is φ = 60122880.

The previous prime is 150798359. The next prime is 150798469. The reversal of 150798400 is 4897051.

It is a happy number.

The square root of 150798400 is 12280.

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

It can be written as a sum of positive squares in only one way, i.e., 54287424 + 96510976 = 7368^2 + 9824^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 491047 + ... + 491353.

Almost surely, 2^150798400 is an apocalyptic number.

150798400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

150798400 is the 12280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150798400

150798400 is an abundant number, since it is smaller than the sum of its proper divisors (221472509).

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

150798400 is an frugal number, since it uses more digits than its factorization.

150798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The cubic root of 150798400 is about 532.2703131911.

The spelling of 150798400 in words is "one hundred fifty million, seven hundred ninety-eight thousand, four hundred".