908413920 has 192 divisors, whose sum is σ = 3193344000. Its totient is φ = 241187328.

The previous prime is 908413907. The next prime is 908413927. The reversal of 908413920 is 29314809.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (908413927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1896241 + ... + 1896719.

It is an arithmetic number, because the mean of its divisors is an integer number (16632000).

Almost surely, 2^908413920 is an apocalyptic number.

908413920 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 908413920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596672000).

908413920 is an abundant number, since it is smaller than the sum of its proper divisors (2284930080).

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

908413920 is a wasteful number, since it uses less digits than its factorization.

908413920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 908413920 is about 30139.9057729118. The cubic root of 908413920 is about 968.4887794059.

The spelling of 908413920 in words is "nine hundred eight million, four hundred thirteen thousand, nine hundred twenty".