214386480 has 320 divisors, whose sum is σ = 921369600. Its totient is φ = 44513280.

The previous prime is 214386463. The next prime is 214386553. The reversal of 214386480 is 84683412.

214386480 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 8 + 648 + 0 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 165676 + ... + 166964.

It is an arithmetic number, because the mean of its divisors is an integer number (2879280).

Almost surely, 2^214386480 is an apocalyptic number.

214386480 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 214386480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460684800).

214386480 is an abundant number, since it is smaller than the sum of its proper divisors (706983120).

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

214386480 is a wasteful number, since it uses less digits than its factorization.

214386480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 214386480 is about 14641.9424940819. The cubic root of 214386480 is about 598.5022644244.

The spelling of 214386480 in words is "two hundred fourteen million, three hundred eighty-six thousand, four hundred eighty".