946133980 has 144 divisors (see below), whose sum is σ = 2406329856. Its totient is φ = 309253120.

The previous prime is 946133959. The next prime is 946133983. The reversal of 946133980 is 89331649.

It is a super-2 number, since 2×946133980² = 1790339016221280800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (946133983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1462017 + ... + 1462663.

It is an arithmetic number, because the mean of its divisors is an integer number (16710624).

Almost surely, 2^946133980 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 946133980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203164928).

946133980 is an abundant number, since it is smaller than the sum of its proper divisors (1460195876).

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

946133980 is a wasteful number, since it uses less digits than its factorization.

946133980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The square root of 946133980 is about 30759.2909541166. The cubic root of 946133980 is about 981.7122571898.

The spelling of 946133980 in words is "nine hundred forty-six million, one hundred thirty-three thousand, nine hundred eighty".