214040464 has 40 divisors (see below), whose sum is σ = 454970880. Its totient is φ = 96739200.

The previous prime is 214040441. The next prime is 214040471. The reversal of 214040464 is 464040412.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28497 + ... + 35215.

It is an arithmetic number, because the mean of its divisors is an integer number (11374272).

Almost surely, 2^214040464 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 214040464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227485440).

214040464 is an abundant number, since it is smaller than the sum of its proper divisors (240930416).

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

214040464 is a wasteful number, since it uses less digits than its factorization.

214040464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6919 (or 6913 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 214040464 is about 14630.1218040042. The cubic root of 214040464 is about 598.1801003379.

Adding to 214040464 its reverse (464040412), we get a palindrome (678080876).

The spelling of 214040464 in words is "two hundred fourteen million, forty thousand, four hundred sixty-four".