946733840 has 80 divisors (see below), whose sum is σ = 2377483248. Its totient is φ = 348530688.

The previous prime is 946733839. The next prime is 946733857. The reversal of 946733840 is 48337649.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 76247824 + 870486016 = 8732^2 + 29504^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×946733840² = 1792609927602291200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 946733791 and 946733800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411734 + ... + 414026.

Almost surely, 2^946733840 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 946733840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188741624).

946733840 is an abundant number, since it is smaller than the sum of its proper divisors (1430749408).

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

946733840 is a wasteful number, since it uses less digits than its factorization.

946733840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 44.

The square root of 946733840 is about 30769.0402840258. The cubic root of 946733840 is about 981.9196857065.

The spelling of 946733840 in words is "nine hundred forty-six million, seven hundred thirty-three thousand, eight hundred forty".