900952416 has 288 divisors, whose sum is σ = 3293952480. Its totient is φ = 237468672.

The previous prime is 900952399. The next prime is 900952427. The reversal of 900952416 is 614259009.

900952416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 549550 + ... + 551186.

It is an arithmetic number, because the mean of its divisors is an integer number (11437335).

Almost surely, 2^900952416 is an apocalyptic number.

900952416 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 900952416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646976240).

900952416 is an abundant number, since it is smaller than the sum of its proper divisors (2393000064).

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

900952416 is a wasteful number, since it uses less digits than its factorization.

900952416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 900952416 is about 30015.8694027010. The cubic root of 900952416 is about 965.8298377023.

It can be divided in two parts, 9009 and 52416, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 900952416 in words is "nine hundred million, nine hundred fifty-two thousand, four hundred sixteen".