1214385408 has 108 divisors (see below), whose sum is σ = 3511197508. Its totient is φ = 403660800.

The previous prime is 1214385329. The next prime is 1214385409. The reversal of 1214385408 is 8045834121.

1214385408 is a `hidden beast` number, since 1 + 214 + 38 + 5 + 408 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1021953024 + 192432384 = 31968^2 + 13872^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214385409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1384266 + ... + 1385142.

Almost surely, 2^1214385408 is an apocalyptic number.

1214385408 is a gapful number since it is divisible by the number (18) 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 1214385408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755598754).

1214385408 is an abundant number, since it is smaller than the sum of its proper divisors (2296812100).

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

1214385408 is an equidigital number, since it uses as much as digits as its factorization.

1214385408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1214385408 is about 34848.0330578356. The cubic root of 1214385408 is about 1066.8880401646. Note that the first 3 decimals are identical.

The spelling of 1214385408 in words is "one billion, two hundred fourteen million, three hundred eighty-five thousand, four hundred eight".