474408000 has 336 divisors, whose sum is σ = 1854403200. Its totient is φ = 114816000.

The previous prime is 474407987. The next prime is 474408023. The reversal of 474408000 is 804474.

474408000 = T₂₂₁ + T₂₂₂ + ... + T₁₄₁₈.

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, 791701 + ... + 792299.

Almost surely, 2^474408000 is an apocalyptic number.

474408000 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 474408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927201600).

474408000 is an abundant number, since it is smaller than the sum of its proper divisors (1379995200).

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

474408000 is a wasteful number, since it uses less digits than its factorization.

474408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 474408000 is about 21780.9090719373. The cubic root of 474408000 is about 779.9210965550.

The spelling of 474408000 in words is "four hundred seventy-four million, four hundred eight thousand".