214806480 has 160 divisors (see below), whose sum is σ = 787449600. Its totient is φ = 47394816.

The previous prime is 214806467. The next prime is 214806481. The reversal of 214806480 is 84608412.

It is a super-2 number, since 2×214806480² = 92283647699980800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214806481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46516 + ... + 50924.

It is an arithmetic number, because the mean of its divisors is an integer number (4921560).

Almost surely, 2^214806480 is an apocalyptic number.

214806480 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 214806480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393724800).

214806480 is an abundant number, since it is smaller than the sum of its proper divisors (572643120).

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

214806480 is a wasteful number, since it uses less digits than its factorization.

214806480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4461 (or 4455 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 214806480 is about 14656.2778357945. The cubic root of 214806480 is about 598.8928471665.

The spelling of 214806480 in words is "two hundred fourteen million, eight hundred six thousand, four hundred eighty".