1214879904 has 384 divisors, whose sum is σ = 4274726400. Its totient is φ = 328458240.

The previous prime is 1214879873. The next prime is 1214879921. The reversal of 1214879904 is 4099784121.

It is a happy number.

It is a super-2 number, since 2×1214879904² = 2951866362286098432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1214879904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13650292 + ... + 13650380.

It is an arithmetic number, because the mean of its divisors is an integer number (11132100).

Almost surely, 2^1214879904 is an apocalyptic number.

1214879904 is a gapful number since it is divisible by the number (14) 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 1214879904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137363200).

1214879904 is an abundant number, since it is smaller than the sum of its proper divisors (3059846496).

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

1214879904 is a wasteful number, since it uses less digits than its factorization.

1214879904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1214879904 is about 34855.1273703023. The cubic root of 1214879904 is about 1067.0328322743.

The spelling of 1214879904 in words is "one billion, two hundred fourteen million, eight hundred seventy-nine thousand, nine hundred four".