214429440 has 144 divisors (see below), whose sum is σ = 721123200. Its totient is φ = 54153216.

The previous prime is 214429429. The next prime is 214429447. The reversal of 214429440 is 44924412.

214429440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 214429398 and 214429407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214429447) 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, 71491 + ... + 74429.

It is an arithmetic number, because the mean of its divisors is an integer number (5007800).

Almost surely, 2^214429440 is an apocalyptic number.

214429440 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 214429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360561600).

214429440 is an abundant number, since it is smaller than the sum of its proper divisors (506693760).

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

214429440 is a wasteful number, since it uses less digits than its factorization.

214429440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2982 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 214429440 is about 14643.4094390617. The cubic root of 214429440 is about 598.5422388669.

The spelling of 214429440 in words is "two hundred fourteen million, four hundred twenty-nine thousand, four hundred forty".