214437540 has 72 divisors (see below), whose sum is σ = 620585280. Its totient is φ = 55323840.

The previous prime is 214437511. The next prime is 214437551. The reversal of 214437540 is 45734412.

It is a super-2 number, since 2×214437540² = 91966917122503200, which contains 22 as substring.

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 = 214437498 and 214437507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55801 + ... + 59519.

It is an arithmetic number, because the mean of its divisors is an integer number (8619240).

Almost surely, 2^214437540 is an apocalyptic number.

214437540 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 214437540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310292640).

214437540 is an abundant number, since it is smaller than the sum of its proper divisors (406147740).

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

214437540 is a wasteful number, since it uses less digits than its factorization.

214437540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3793 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 214437540 is about 14643.6860113839. The cubic root of 214437540 is about 598.5497753493.

The spelling of 214437540 in words is "two hundred fourteen million, four hundred thirty-seven thousand, five hundred forty".