900157460 has 48 divisors (see below), whose sum is σ = 1988839440. Its totient is φ = 341775360.

The previous prime is 900157451. The next prime is 900157469. The reversal of 900157460 is 64751009.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (900157451) and next prime (900157469).

It can be written as a sum of positive squares in 8 ways, for example, as 169104016 + 731053444 = 13004^2 + 27038^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900157469) 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 15 ways as a sum of consecutive naturals, for example, 15506 + ... + 45174.

It is an arithmetic number, because the mean of its divisors is an integer number (41434155).

Almost surely, 2^900157460 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 900157460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994419720).

900157460 is an abundant number, since it is smaller than the sum of its proper divisors (1088681980).

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

900157460 is a wasteful number, since it uses less digits than its factorization.

900157460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29756 (or 29754 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 900157460 is about 30002.6242185579. The cubic root of 900157460 is about 965.5456872328.

The spelling of 900157460 in words is "nine hundred million, one hundred fifty-seven thousand, four hundred sixty".