216473904 has 80 divisors (see below), whose sum is σ = 629324800. Its totient is φ = 71233344.

The previous prime is 216473879. The next prime is 216473909. The reversal of 216473904 is 409374612.

216473904 is a `hidden beast` number, since 2 + 1 + 647 + 3 + 9 + 0 + 4 = 666.

It is a super-2 number, since 2×216473904² = 93721902226002432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (216473909) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30957 + ... + 37299.

It is an arithmetic number, because the mean of its divisors is an integer number (7866560).

Almost surely, 2^216473904 is an apocalyptic number.

216473904 is a gapful number since it is divisible by the number (24) 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 216473904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314662400).

216473904 is an abundant number, since it is smaller than the sum of its proper divisors (412850896).

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

216473904 is a wasteful number, since it uses less digits than its factorization.

216473904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6439 (or 6427 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 216473904 is about 14713.0521646598. The cubic root of 216473904 is about 600.4384794815.

The spelling of 216473904 in words is "two hundred sixteen million, four hundred seventy-three thousand, nine hundred four".