1214478720 has 576 divisors, whose sum is σ = 5269577040. Its totient is φ = 255467520.

The previous prime is 1214478677. The next prime is 1214478773. The reversal of 1214478720 is 278744121.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1214478720² = 2949917122665676800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3668955 + ... + 3669285.

Almost surely, 2^1214478720 is an apocalyptic number.

1214478720 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 1214478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634788520).

1214478720 is an abundant number, since it is smaller than the sum of its proper divisors (4055098320).

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

1214478720 is a wasteful number, since it uses less digits than its factorization.

1214478720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 1214478720 is about 34849.3718738229. The cubic root of 1214478720 is about 1066.9153656211.

The spelling of 1214478720 in words is "one billion, two hundred fourteen million, four hundred seventy-eight thousand, seven hundred twenty".