474969600 has 720 divisors, whose sum is σ = 2110817280. Its totient is φ = 99532800.

The previous prime is 474969577. The next prime is 474969643. The reversal of 474969600 is 6969474.

474969600 is a `hidden beast` number, since 474 + 96 + 96 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×474969600² = 451192241848320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15321585 + ... + 15321615.

Almost surely, 2^474969600 is an apocalyptic number.

474969600 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 474969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055408640).

474969600 is an abundant number, since it is smaller than the sum of its proper divisors (1635847680).

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

474969600 is a wasteful number, since it uses less digits than its factorization.

474969600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 474969600 is about 21793.7972827133. The cubic root of 474969600 is about 780.2287297642.

The spelling of 474969600 in words is "four hundred seventy-four million, nine hundred sixty-nine thousand, six hundred".