152390448 has 120 divisors (see below), whose sum is σ = 516136608. Its totient is φ = 40974336.

The previous prime is 152390417. The next prime is 152390473. The reversal of 152390448 is 844093251.

152390448 is a `hidden beast` number, since 1 + 523 + 90 + 4 + 48 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 12690 + ... + 21582.

Almost surely, 2^152390448 is an apocalyptic number.

152390448 is a gapful number since it is divisible by the number (18) 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 152390448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258068304).

152390448 is an abundant number, since it is smaller than the sum of its proper divisors (363746160).

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

152390448 is a wasteful number, since it uses less digits than its factorization.

152390448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8931 (or 8922 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 152390448 is about 12344.6526075058. The cubic root of 152390448 is about 534.1369004722.

The spelling of 152390448 in words is "one hundred fifty-two million, three hundred ninety thousand, four hundred forty-eight".