474225480 has 192 divisors, whose sum is σ = 1592136000. Its totient is φ = 122362368.

The previous prime is 474225469. The next prime is 474225491. The reversal of 474225480 is 84522474.

It is an interprime number because it is at equal distance from previous prime (474225469) and next prime (474225491).

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

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 47 ways as a sum of consecutive naturals, for example, 1762786 + ... + 1763054.

It is an arithmetic number, because the mean of its divisors is an integer number (8292375).

Almost surely, 2^474225480 is an apocalyptic number.

474225480 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 474225480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796068000).

474225480 is an abundant number, since it is smaller than the sum of its proper divisors (1117910520).

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

474225480 is a wasteful number, since it uses less digits than its factorization.

474225480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 474225480 is about 21776.7187610990. The cubic root of 474225480 is about 779.8210634906.

The spelling of 474225480 in words is "four hundred seventy-four million, two hundred twenty-five thousand, four hundred eighty".