920414646 has 48 divisors (see below), whose sum is σ = 2127750768. Its totient is φ = 286540800.

The previous prime is 920414641. The next prime is 920414647. The reversal of 920414646 is 646414029.

920414646 is a `hidden beast` number, since 9 + 2 + 0 + 4 + 1 + 4 + 646 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 920414646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920414641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28606 + ... + 51566.

It is an arithmetic number, because the mean of its divisors is an integer number (44328141).

Almost surely, 2^920414646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920414646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063875384).

920414646 is an abundant number, since it is smaller than the sum of its proper divisors (1207336122).

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

920414646 is a wasteful number, since it uses less digits than its factorization.

920414646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23117 (or 23114 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 920414646 is about 30338.3362431100. The cubic root of 920414646 is about 972.7349202389.

The spelling of 920414646 in words is "nine hundred twenty million, four hundred fourteen thousand, six hundred forty-six".