920773440 has 448 divisors, whose sum is σ = 3511296000. Its totient is φ = 226437120.

The previous prime is 920773433. The next prime is 920773457. The reversal of 920773440 is 44377029.

920773440 is a `hidden beast` number, since 9 + 207 + 7 + 3 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 920773395 and 920773404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11655321 + ... + 11655399.

Almost surely, 2^920773440 is an apocalyptic number.

920773440 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 920773440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755648000).

920773440 is an abundant number, since it is smaller than the sum of its proper divisors (2590522560).

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

920773440 is a wasteful number, since it uses less digits than its factorization.

920773440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 920773440 is about 30344.2488784943. The cubic root of 920773440 is about 972.8613002764.

The spelling of 920773440 in words is "nine hundred twenty million, seven hundred seventy-three thousand, four hundred forty".