1214856400 has 60 divisors (see below), whose sum is σ = 3019365900. Its totient is φ = 469181440.

The previous prime is 1214856373. The next prime is 1214856413. The reversal of 1214856400 is 46584121.

It can be written as a sum of positive squares in 6 ways, for example, as 48497296 + 1166359104 = 6964^2 + 34152^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40765 + ... + 63964.

It is an arithmetic number, because the mean of its divisors is an integer number (50322765).

Almost surely, 2^1214856400 is an apocalyptic number.

1214856400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1214856400 is an abundant number, since it is smaller than the sum of its proper divisors (1804509500).

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

1214856400 is a wasteful number, since it uses less digits than its factorization.

1214856400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104776 (or 104765 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 1214856400 is about 34854.7902016351. The cubic root of 1214856400 is about 1067.0259510176.

The spelling of 1214856400 in words is "one billion, two hundred fourteen million, eight hundred fifty-six thousand, four hundred".