472836000 has 384 divisors, whose sum is σ = 1910877696. Its totient is φ = 99532800.

The previous prime is 472835999. The next prime is 472836017. The reversal of 472836000 is 638274.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1091784 + ... + 1092216.

It is an arithmetic number, because the mean of its divisors is an integer number (4976244).

Almost surely, 2^472836000 is an apocalyptic number.

472836000 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 472836000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955438848).

472836000 is an abundant number, since it is smaller than the sum of its proper divisors (1438041696).

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

472836000 is a wasteful number, since it uses less digits than its factorization.

472836000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 472836000 is about 21744.7924800399. The cubic root of 472836000 is about 779.0586935452.

The spelling of 472836000 in words is "four hundred seventy-two million, eight hundred thirty-six thousand".