214499040 has 96 divisors (see below), whose sum is σ = 772208640. Its totient is φ = 49027584.

The previous prime is 214499011. The next prime is 214499041. The reversal of 214499040 is 40994412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 214498992 and 214499010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214499041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28560 + ... + 35279.

It is an arithmetic number, because the mean of its divisors is an integer number (8043840).

Almost surely, 2^214499040 is an apocalyptic number.

214499040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214499040 is an abundant number, since it is smaller than the sum of its proper divisors (557709600).

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

214499040 is a wasteful number, since it uses less digits than its factorization.

214499040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63864 (or 63856 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 214499040 is about 14645.7857419805. The cubic root of 214499040 is about 598.6069905998.

The spelling of 214499040 in words is "two hundred fourteen million, four hundred ninety-nine thousand, forty".