605251920 has 480 divisors, whose sum is σ = 2436594048. Its totient is φ = 123088896.

The previous prime is 605251919. The next prime is 605251931. The reversal of 605251920 is 29152506.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5656507 + ... + 5656613.

Almost surely, 2^605251920 is an apocalyptic number.

605251920 is a gapful number since it is divisible by the number (60) 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 605251920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218297024).

605251920 is an abundant number, since it is smaller than the sum of its proper divisors (1831342128).

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

605251920 is a wasteful number, since it uses less digits than its factorization.

605251920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 605251920 is about 24601.8682217428. The cubic root of 605251920 is about 845.8864313344.

The spelling of 605251920 in words is "six hundred five million, two hundred fifty-one thousand, nine hundred twenty".