1468090400 has 144 divisors (see below), whose sum is σ = 4113861696. Its totient is φ = 501150720.

The previous prime is 1468090387. The next prime is 1468090411. The reversal of 1468090400 is 40908641.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1774787 + ... + 1775613.

It is an arithmetic number, because the mean of its divisors is an integer number (28568484).

Almost surely, 2^1468090400 is an apocalyptic number.

1468090400 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 1468090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056930848).

1468090400 is an abundant number, since it is smaller than the sum of its proper divisors (2645771296).

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

1468090400 is a wasteful number, since it uses less digits than its factorization.

1468090400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 1468090400 is about 38315.6678135720. The cubic root of 1468090400 is about 1136.5387991609.

The spelling of 1468090400 in words is "one billion, four hundred sixty-eight million, ninety thousand, four hundred".