1468742400 has 324 divisors, whose sum is σ = 5382264888. Its totient is φ = 381911040.

The previous prime is 1468742399. The next prime is 1468742453. The reversal of 1468742400 is 42478641.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2476504 + ... + 2477096.

Almost surely, 2^1468742400 is an apocalyptic number.

1468742400 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 1468742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691132444).

1468742400 is an abundant number, since it is smaller than the sum of its proper divisors (3913522488).

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

1468742400 is a wasteful number, since it uses less digits than its factorization.

1468742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 1468742400 is about 38324.1751378944. The cubic root of 1468742400 is about 1136.7070253192.

The spelling of 1468742400 in words is "one billion, four hundred sixty-eight million, seven hundred forty-two thousand, four hundred".