471006900 has 504 divisors, whose sum is σ = 1912627584. Its totient is φ = 97977600.

The previous prime is 471006797. The next prime is 471006953. The reversal of 471006900 is 9600174.

It is a super-2 number, since 2×471006900² = 443694999695220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 6633865 + ... + 6633935.

It is an arithmetic number, because the mean of its divisors is an integer number (3794896).

Almost surely, 2^471006900 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 471006900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956313792).

471006900 is an abundant number, since it is smaller than the sum of its proper divisors (1441620684).

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

471006900 is a wasteful number, since it uses less digits than its factorization.

471006900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 471006900 is about 21702.6933812373. The cubic root of 471006900 is about 778.0528355198.

It can be divided in two parts, 471006 and 900, that added together give a triangular number (471906 = T₉₇₁).

The spelling of 471006900 in words is "four hundred seventy-one million, six thousand, nine hundred".