1350185472 has 120 divisors (see below), whose sum is σ = 3932727084. Its totient is φ = 445906944.

The previous prime is 1350185471. The next prime is 1350185477. The reversal of 1350185472 is 2745810531.

1350185472 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 185 + 472 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1251461376 + 98724096 = 35376^2 + 9936^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1350185471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 519408 + ... + 522000.

Almost surely, 2^1350185472 is an apocalyptic number.

1350185472 is a gapful number since it is divisible by the number (12) 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 1350185472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966363542).

1350185472 is an abundant number, since it is smaller than the sum of its proper divisors (2582541612).

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

1350185472 is a wasteful number, since it uses less digits than its factorization.

1350185472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 1350185472 is about 36744.8700092952. The cubic root of 1350185472 is about 1105.2600609552.

The spelling of 1350185472 in words is "one billion, three hundred fifty million, one hundred eighty-five thousand, four hundred seventy-two".