946860288 has 288 divisors, whose sum is σ = 3072867840. Its totient is φ = 255098880.

The previous prime is 946860263. The next prime is 946860319. The reversal of 946860288 is 882068649.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 946860288.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2728531 + ... + 2728877.

It is an arithmetic number, because the mean of its divisors is an integer number (10669680).

Almost surely, 2^946860288 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 946860288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536433920).

946860288 is an abundant number, since it is smaller than the sum of its proper divisors (2126007552).

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

946860288 is a wasteful number, since it uses less digits than its factorization.

946860288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The square root of 946860288 is about 30771.0950081404. The cubic root of 946860288 is about 981.9633995952.

The spelling of 946860288 in words is "nine hundred forty-six million, eight hundred sixty thousand, two hundred eighty-eight".