900348416 has 60 divisors (see below), whose sum is σ = 1977481506. Its totient is φ = 409221120.

The previous prime is 900348401. The next prime is 900348419. The reversal of 900348416 is 614843009.

It can be written as a sum of positive squares in only one way, i.e., 744198400 + 156150016 = 27280^2 + 12496^2 .

It is not an unprimeable number, because it can be changed into a prime (900348419) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 54686 + ... + 69218.

Almost surely, 2^900348416 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 900348416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988740753).

900348416 is an abundant number, since it is smaller than the sum of its proper divisors (1077133090).

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

900348416 is a wasteful number, since it uses less digits than its factorization.

900348416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14573 (or 14546 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 900348416 is about 30005.8063714342. The cubic root of 900348416 is about 965.6139581426.

The spelling of 900348416 in words is "nine hundred million, three hundred forty-eight thousand, four hundred sixteen".