920705280 has 288 divisors, whose sum is σ = 3263597568. Its totient is φ = 219340800.

The previous prime is 920705257. The next prime is 920705323. The reversal of 920705280 is 82507029.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 2998887 + ... + 2999193.

It is an arithmetic number, because the mean of its divisors is an integer number (11331936).

Almost surely, 2^920705280 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 920705280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631798784).

920705280 is an abundant number, since it is smaller than the sum of its proper divisors (2342892288).

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

920705280 is a wasteful number, since it uses less digits than its factorization.

920705280 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 10080, while the sum is 33.

The square root of 920705280 is about 30343.1257453809. The cubic root of 920705280 is about 972.8372944209.

The spelling of 920705280 in words is "nine hundred twenty million, seven hundred five thousand, two hundred eighty".