472742000 has 160 divisors (see below), whose sum is σ = 1225635840. Its totient is φ = 175929600.

The previous prime is 472741993. The next prime is 472742003. The reversal of 472742000 is 247274.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472742003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1977881 + ... + 1978119.

It is an arithmetic number, because the mean of its divisors is an integer number (7660224).

Almost surely, 2^472742000 is an apocalyptic number.

472742000 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 472742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612817920).

472742000 is an abundant number, since it is smaller than the sum of its proper divisors (752893840).

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

472742000 is a wasteful number, since it uses less digits than its factorization.

472742000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 472742000 is about 21742.6309355607. The cubic root of 472742000 is about 779.0070643894.

Adding to 472742000 its reverse (247274), we get a palindrome (472989274).

The spelling of 472742000 in words is "four hundred seventy-two million, seven hundred forty-two thousand".