1214460000 has 480 divisors, whose sum is σ = 4794340320. Its totient is φ = 297216000.

The previous prime is 1214459989. The next prime is 1214460011. The reversal of 1214460000 is 644121.

1214460000 is a `hidden beast` number, since 1 + 21 + 44 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1214459989) and next prime (1214460011).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7019914 + ... + 7020086.

It is an arithmetic number, because the mean of its divisors is an integer number (9988209).

Almost surely, 2^1214460000 is an apocalyptic number.

1214460000 is a gapful number since it is divisible by the number (10) 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 1214460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397170160).

1214460000 is an abundant number, since it is smaller than the sum of its proper divisors (3579880320).

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

1214460000 is a wasteful number, since it uses less digits than its factorization.

1214460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1214460000 is about 34849.1032883201. The cubic root of 1214460000 is about 1066.9098837745.

The spelling of 1214460000 in words is "one billion, two hundred fourteen million, four hundred sixty thousand".