920494080 has 336 divisors, whose sum is σ = 3496263264. Its totient is φ = 222167040.

The previous prime is 920494079. The next prime is 920494097. The reversal of 920494080 is 80494029.

It is a happy number.

920494080 is a `hidden beast` number, since 92 + 0 + 494 + 0 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4054927 + ... + 4055153.

Almost surely, 2^920494080 is an apocalyptic number.

920494080 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 920494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748131632).

920494080 is an abundant number, since it is smaller than the sum of its proper divisors (2575769184).

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

920494080 is a wasteful number, since it uses less digits than its factorization.

920494080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 920494080 is about 30339.6453505970. The cubic root of 920494080 is about 972.7629025558.

The spelling of 920494080 in words is "nine hundred twenty million, four hundred ninety-four thousand, eighty".