474790417920 has 480 divisors, whose sum is σ = 2023803093312. Its totient is φ = 100175118336.

The previous prime is 474790417901. The next prime is 474790418021. The reversal of 474790417920 is 29714097474.

It is a happy number.

474790417920 is a `hidden beast` number, since 4 + 74 + 79 + 0 + 417 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1983414 + ... + 2209866.

Almost surely, 2^474790417920 is an apocalyptic number.

474790417920 is a gapful number since it is divisible by the number (40) 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 474790417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011901546656).

474790417920 is an abundant number, since it is smaller than the sum of its proper divisors (1549012675392).

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

474790417920 is a wasteful number, since it uses less digits than its factorization.

474790417920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226502 (or 226483 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 474790417920 in words is "four hundred seventy-four billion, seven hundred ninety million, four hundred seventeen thousand, nine hundred twenty".