474624000 has 312 divisors, whose sum is σ = 1727580192. Its totient is φ = 125337600.

The previous prime is 474623999. The next prime is 474624011. The reversal of 474624000 is 426474.

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, 4607949 + ... + 4608051.

It is an arithmetic number, because the mean of its divisors is an integer number (5537116).

Almost surely, 2^474624000 is an apocalyptic number.

474624000 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 474624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863790096).

474624000 is an abundant number, since it is smaller than the sum of its proper divisors (1252956192).

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

474624000 is a wasteful number, since it uses less digits than its factorization.

474624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 474624000 is about 21785.8669783876. The cubic root of 474624000 is about 780.0394457369.

The spelling of 474624000 in words is "four hundred seventy-four million, six hundred twenty-four thousand".