474414080 has 264 divisors, whose sum is σ = 1388946816. Its totient is φ = 154828800.

The previous prime is 474414047. The next prime is 474414091. The reversal of 474414080 is 80414474.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7777250 + ... + 7777310.

Almost surely, 2^474414080 is an apocalyptic number.

474414080 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 474414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694473408).

474414080 is an abundant number, since it is smaller than the sum of its proper divisors (914532736).

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

474414080 is a wasteful number, since it uses less digits than its factorization.

474414080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 32.

The square root of 474414080 is about 21781.0486432587. The cubic root of 474414080 is about 779.9244283566.

The spelling of 474414080 in words is "four hundred seventy-four million, four hundred fourteen thousand, eighty".