216401010 has 64 divisors (see below), whose sum is σ = 595752192. Its totient is φ = 49280256.

The previous prime is 216400991. The next prime is 216401011. The reversal of 216401010 is 10104612.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (216401011) 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, 59772 + ... + 63288.

It is an arithmetic number, because the mean of its divisors is an integer number (9308628).

Almost surely, 2^216401010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216401010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297876096).

216401010 is an abundant number, since it is smaller than the sum of its proper divisors (379351182).

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

216401010 is a wasteful number, since it uses less digits than its factorization.

216401010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3827.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 216401010 is about 14710.5747678328. The cubic root of 216401010 is about 600.3710760126.

Adding to 216401010 its reverse (10104612), we get a palindrome (226505622).

The spelling of 216401010 in words is "two hundred sixteen million, four hundred one thousand, ten".