900158472 has 96 divisors (see below), whose sum is σ = 2475139680. Its totient is φ = 295511040.

The previous prime is 900158461. The next prime is 900158473. The reversal of 900158472 is 274851009.

900158472 is a `hidden beast` number, since 9 + 0 + 0 + 1 + 584 + 72 = 666.

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 (900158473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2549848 + ... + 2550200.

It is an arithmetic number, because the mean of its divisors is an integer number (25782705).

Almost surely, 2^900158472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900158472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237569840).

900158472 is an abundant number, since it is smaller than the sum of its proper divisors (1574981208).

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

900158472 is a wasteful number, since it uses less digits than its factorization.

900158472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 900158472 is about 30002.6410837446. The cubic root of 900158472 is about 965.5460490702.

The spelling of 900158472 in words is "nine hundred million, one hundred fifty-eight thousand, four hundred seventy-two".