946445760 has 336 divisors, whose sum is σ = 3714512256. Its totient is φ = 219119616.

The previous prime is 946445741. The next prime is 946445789. The reversal of 946445760 is 67544649.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 635737 + ... + 637223.

It is an arithmetic number, because the mean of its divisors is an integer number (11055096).

Almost surely, 2^946445760 is an apocalyptic number.

946445760 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 946445760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857256128).

946445760 is an abundant number, since it is smaller than the sum of its proper divisors (2768066496).

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

946445760 is a wasteful number, since it uses less digits than its factorization.

946445760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 946445760 is about 30764.3585988722. The cubic root of 946445760 is about 981.8200800562.

The spelling of 946445760 in words is "nine hundred forty-six million, four hundred forty-five thousand, seven hundred sixty".