474192900 has 144 divisors (see below), whose sum is σ = 1614271680. Its totient is φ = 119001600.

The previous prime is 474192881. The next prime is 474192907. The reversal of 474192900 is 9291474.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474192907) by changing a digit.

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, 40735 + ... + 51065.

It is an arithmetic number, because the mean of its divisors is an integer number (11210220).

Almost surely, 2^474192900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474192900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807135840).

474192900 is an abundant number, since it is smaller than the sum of its proper divisors (1140078780).

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

474192900 is a wasteful number, since it uses less digits than its factorization.

474192900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10371 (or 10358 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 474192900 is about 21775.9707016702. The cubic root of 474192900 is about 779.8032047903.

The spelling of 474192900 in words is "four hundred seventy-four million, one hundred ninety-two thousand, nine hundred".