474324480 has 480 divisors, whose sum is σ = 1999318464. Its totient is φ = 101449728.

The previous prime is 474324359. The next prime is 474324491. The reversal of 474324480 is 84423474.

It is a happy number.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 47 ways as a sum of consecutive naturals, for example, 2741674 + ... + 2741846.

Almost surely, 2^474324480 is an apocalyptic number.

474324480 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 474324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999659232).

474324480 is an abundant number, since it is smaller than the sum of its proper divisors (1524993984).

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

474324480 is a wasteful number, since it uses less digits than its factorization.

474324480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 474324480 is about 21778.9917121982. The cubic root of 474324480 is about 779.8753252408.

The spelling of 474324480 in words is "four hundred seventy-four million, three hundred twenty-four thousand, four hundred eighty".