1214530400 has 72 divisors (see below), whose sum is σ = 3060679104. Its totient is φ = 470131200.

The previous prime is 1214530391. The next prime is 1214530417. The reversal of 1214530400 is 40354121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 314 + ... + 49286.

It is an arithmetic number, because the mean of its divisors is an integer number (42509432).

Almost surely, 2^1214530400 is an apocalyptic number.

1214530400 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 1214530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530339552).

1214530400 is an abundant number, since it is smaller than the sum of its proper divisors (1846148704).

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

1214530400 is a wasteful number, since it uses less digits than its factorization.

1214530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49024 (or 49011 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1214530400 is about 34850.1133427138. The cubic root of 1214530400 is about 1066.9304989737.

Adding to 1214530400 its reverse (40354121), we get a palindrome (1254884521).

The spelling of 1214530400 in words is "one billion, two hundred fourteen million, five hundred thirty thousand, four hundred".