474094800 has 180 divisors, whose sum is σ = 1667065920. Its totient is φ = 124750080.

The previous prime is 474094787. The next prime is 474094843. The reversal of 474094800 is 8490474.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 283567 + ... + 285233.

Almost surely, 2^474094800 is an apocalyptic number.

474094800 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 474094800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833532960).

474094800 is an abundant number, since it is smaller than the sum of its proper divisors (1192971120).

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

474094800 is a wasteful number, since it uses less digits than its factorization.

474094800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 474094800 is about 21773.7181023361. The cubic root of 474094800 is about 779.7494264157.

The spelling of 474094800 in words is "four hundred seventy-four million, ninety-four thousand, eight hundred".