214288740 has 240 divisors, whose sum is σ = 737662464. Its totient is φ = 51840000.

The previous prime is 214288703. The next prime is 214288759. The reversal of 214288740 is 47882412.

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

It is a junction number, because it is equal to n+sod(n) for n = 214288695 and 214288704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 853615 + ... + 853865.

Almost surely, 2^214288740 is an apocalyptic number.

214288740 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 214288740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368831232).

214288740 is an abundant number, since it is smaller than the sum of its proper divisors (523373724).

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

214288740 is a wasteful number, since it uses less digits than its factorization.

214288740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 214288740 is about 14638.6044416809. The cubic root of 214288740 is about 598.4112970846.

The spelling of 214288740 in words is "two hundred fourteen million, two hundred eighty-eight thousand, seven hundred forty".