900172416 has 256 divisors, whose sum is σ = 2854857600. Its totient is φ = 249200640.

The previous prime is 900172411. The next prime is 900172421. The reversal of 900172416 is 614271009.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (900172411) and next prime (900172421).

It is not an unprimeable number, because it can be changed into a prime (900172411) 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 31 ways as a sum of consecutive naturals, for example, 9280080 + ... + 9280176.

Almost surely, 2^900172416 is an apocalyptic number.

900172416 is a gapful number since it is divisible by the number (96) 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 900172416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427428800).

900172416 is an abundant number, since it is smaller than the sum of its proper divisors (1954685184).

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

900172416 is a wasteful number, since it uses less digits than its factorization.

900172416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 900172416 is about 30002.8734623869. The cubic root of 900172416 is about 965.5510346755.

The spelling of 900172416 in words is "nine hundred million, one hundred seventy-two thousand, four hundred sixteen".