946509040 has 80 divisors (see below), whose sum is σ = 2232312480. Its totient is φ = 373201920.

The previous prime is 946509007. The next prime is 946509043. The reversal of 946509040 is 40905649.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (946509043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2248030 + ... + 2248450.

It is an arithmetic number, because the mean of its divisors is an integer number (27903906).

Almost surely, 2^946509040 is an apocalyptic number.

946509040 is the 25120-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 946509040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116156240).

946509040 is an abundant number, since it is smaller than the sum of its proper divisors (1285803440).

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

946509040 is a wasteful number, since it uses less digits than its factorization.

946509040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 946509040 is about 30765.3870445343. The cubic root of 946509040 is about 981.8419612855.

The spelling of 946509040 in words is "nine hundred forty-six million, five hundred nine thousand, forty".