1450990800 has 480 divisors, whose sum is σ = 6254956800. Its totient is φ = 311869440.

The previous prime is 1450990799. The next prime is 1450990823. The reversal of 1450990800 is 80990541.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1284636 + ... + 1285764.

It is an arithmetic number, because the mean of its divisors is an integer number (13031160).

Almost surely, 2^1450990800 is an apocalyptic number.

1450990800 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 1450990800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3127478400).

1450990800 is an abundant number, since it is smaller than the sum of its proper divisors (4803966000).

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

1450990800 is a wasteful number, since it uses less digits than its factorization.

1450990800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1450990800 is about 38091.8731490065. The cubic root of 1450990800 is about 1132.1089391427.

The spelling of 1450990800 in words is "one billion, four hundred fifty million, nine hundred ninety thousand, eight hundred".