472641000 has 128 divisors (see below), whose sum is σ = 1588204800. Its totient is φ = 116332800.

The previous prime is 472640999. The next prime is 472641011. The reversal of 472641000 is 146274.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32941 + ... + 45059.

It is an arithmetic number, because the mean of its divisors is an integer number (12407850).

Almost surely, 2^472641000 is an apocalyptic number.

472641000 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 472641000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794102400).

472641000 is an abundant number, since it is smaller than the sum of its proper divisors (1115563800).

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

472641000 is a wasteful number, since it uses less digits than its factorization.

472641000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12156 (or 12142 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 472641000 is about 21740.3081854881. The cubic root of 472641000 is about 778.9515828812.

Adding to 472641000 its reverse (146274), we get a palindrome (472787274).

The spelling of 472641000 in words is "four hundred seventy-two million, six hundred forty-one thousand".