920180408 has 48 divisors (see below), whose sum is σ = 2011199400. Its totient is φ = 393543360.

The previous prime is 920180407. The next prime is 920180423. The reversal of 920180408 is 804081029.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920180407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 209903 + ... + 214241.

Almost surely, 2^920180408 is an apocalyptic number.

920180408 is a gapful number since it is divisible by the number (98) 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 920180408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005599700).

920180408 is an abundant number, since it is smaller than the sum of its proper divisors (1091018992).

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

920180408 is a wasteful number, since it uses less digits than its factorization.

920180408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4900 (or 4889 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 920180408 is about 30334.4755682375. The cubic root of 920180408 is about 972.6523955439.

The spelling of 920180408 in words is "nine hundred twenty million, one hundred eighty thousand, four hundred eight".