1216614400 has 117 divisors (see below), whose sum is σ = 3044766711. Its totient is φ = 482181120.

The previous prime is 1216614383. The next prime is 1216614433. The reversal of 1216614400 is 44166121.

The square root of 1216614400 is 34880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4460544 + 1212153856 = 2112^2 + 34816^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11161546 + ... + 11161654.

Almost surely, 2^1216614400 is an apocalyptic number.

1216614400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1216614400 is the 34880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1216614400

1216614400 is an abundant number, since it is smaller than the sum of its proper divisors (1828152311).

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

1216614400 is an frugal number, since it uses more digits than its factorization.

1216614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The cubic root of 1216614400 is about 1067.5403952267.

Multiplying 1216614400 by its sum of digits (25), we get a square (30415360000 = 174400²).

1216614400 divided by its sum of digits (25) gives a square (48664576 = 6976²).

The spelling of 1216614400 in words is "one billion, two hundred sixteen million, six hundred fourteen thousand, four hundred".