900416160 has 288 divisors, whose sum is σ = 3585254400. Its totient is φ = 205696512.

The previous prime is 900416159. The next prime is 900416207. The reversal of 900416160 is 61614009.

900416160 is a `hidden beast` number, since 9 + 0 + 0 + 41 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×900416160² = 1621498522378291200, which contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 493009 + ... + 494831.

It is an arithmetic number, because the mean of its divisors is an integer number (12448800).

Almost surely, 2^900416160 is an apocalyptic number.

900416160 is a gapful number since it is divisible by the number (90) 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 900416160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792627200).

900416160 is an abundant number, since it is smaller than the sum of its proper divisors (2684838240).

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

900416160 is a wasteful number, since it uses less digits than its factorization.

900416160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 900416160 is about 30006.9351983837. The cubic root of 900416160 is about 965.6381757715.

The spelling of 900416160 in words is "nine hundred million, four hundred sixteen thousand, one hundred sixty".