1450140800 has 384 divisors, whose sum is σ = 4234550400. Its totient is φ = 486604800.

The previous prime is 1450140793. The next prime is 1450140833. The reversal of 1450140800 is 80410541.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23772770 + ... + 23772830.

It is an arithmetic number, because the mean of its divisors is an integer number (11027475).

Almost surely, 2^1450140800 is an apocalyptic number.

1450140800 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 1450140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117275200).

1450140800 is an abundant number, since it is smaller than the sum of its proper divisors (2784409600).

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

1450140800 is a wasteful number, since it uses less digits than its factorization.

1450140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 1450140800 is about 38080.7142790153. The cubic root of 1450140800 is about 1131.8878303286.

The spelling of 1450140800 in words is "one billion, four hundred fifty million, one hundred forty thousand, eight hundred".