1468422400 has 81 divisors (see below), whose sum is σ = 3642178561. Its totient is φ = 586142720.

The previous prime is 1468422377. The next prime is 1468422427. The reversal of 1468422400 is 42248641.

The square root of 1468422400 is 38320.

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

It can be written as a sum of positive squares in only one way, i.e., 528632064 + 939790336 = 22992^2 + 30656^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3065361 + ... + 3065839.

Almost surely, 2^1468422400 is an apocalyptic number.

1468422400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1468422400 is the 38320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1468422400

1468422400 is an abundant number, since it is smaller than the sum of its proper divisors (2173756161).

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

1468422400 is an frugal number, since it uses more digits than its factorization.

1468422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The cubic root of 1468422400 is about 1136.6244665560.

The spelling of 1468422400 in words is "one billion, four hundred sixty-eight million, four hundred twenty-two thousand, four hundred".