214738920 has 192 divisors, whose sum is σ = 767931840. Its totient is φ = 51609600.

The previous prime is 214738919. The next prime is 214738921. The reversal of 214738920 is 29837412.

It is an interprime number because it is at equal distance from previous prime (214738919) and next prime (214738921).

It is a super-2 number, since 2×214738920² = 92225607525532800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (214738921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 835432 + ... + 835688.

It is an arithmetic number, because the mean of its divisors is an integer number (3999645).

Almost surely, 2^214738920 is an apocalyptic number.

214738920 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 214738920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383965920).

214738920 is an abundant number, since it is smaller than the sum of its proper divisors (553192920).

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

214738920 is a wasteful number, since it uses less digits than its factorization.

214738920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 214738920 is about 14653.9728401550. The cubic root of 214738920 is about 598.8300535248.

The spelling of 214738920 in words is "two hundred fourteen million, seven hundred thirty-eight thousand, nine hundred twenty".