214885440 has 896 divisors, whose sum is σ = 1053388800. Its totient is φ = 39813120.

The previous prime is 214885439. The next prime is 214885453. The reversal of 214885440 is 44588412.

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 = 214885395 and 214885404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11309751 + ... + 11309769.

Almost surely, 2^214885440 is an apocalyptic number.

214885440 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 214885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526694400).

214885440 is an abundant number, since it is smaller than the sum of its proper divisors (838503360).

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

214885440 is a wasteful number, since it uses less digits than its factorization.

214885440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 214885440 is about 14658.9713145227. The cubic root of 214885440 is about 598.9662198540.

The spelling of 214885440 in words is "two hundred fourteen million, eight hundred eighty-five thousand, four hundred forty".