214790940 has 480 divisors, whose sum is σ = 874266624. Its totient is φ = 42923520.

The previous prime is 214790899. The next prime is 214790941. The reversal of 214790940 is 49097412.

It is a super-2 number, since 2×214790940² = 92270295812167200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 214790895 and 214790904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214790941) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4569997 + ... + 4570043.

Almost surely, 2^214790940 is an apocalyptic number.

214790940 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 214790940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437133312).

214790940 is an abundant number, since it is smaller than the sum of its proper divisors (659475684).

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

214790940 is a wasteful number, since it uses less digits than its factorization.

214790940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 214790940 is about 14655.7476779590. The cubic root of 214790940 is about 598.8784046797.

The spelling of 214790940 in words is "two hundred fourteen million, seven hundred ninety thousand, nine hundred forty".