206472000 has 224 divisors, whose sum is σ = 779800320. Its totient is φ = 47155200.

The previous prime is 206471981. The next prime is 206472067. The reversal of 206472000 is 274602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167386 + ... + 168614.

Almost surely, 2^206472000 is an apocalyptic number.

206472000 is a gapful number since it is divisible by the number (20) 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 206472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389900160).

206472000 is an abundant number, since it is smaller than the sum of its proper divisors (573328320).

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

206472000 is a wasteful number, since it uses less digits than its factorization.

206472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 206472000 is about 14369.1335855715. The cubic root of 206472000 is about 591.0447828960.

The spelling of 206472000 in words is "two hundred six million, four hundred seventy-two thousand".