1450612800 has 1008 divisors, whose sum is σ = 6741151872. Its totient is φ = 298598400.

The previous prime is 1450612769. The next prime is 1450612859. The reversal of 1450612800 is 82160541.

1450612800 = T₇ + T₈ + ... + T₂₀₅₆.

1450612800 is a `hidden beast` number, since 1 + 45 + 0 + 612 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35380780 + ... + 35380820.

Almost surely, 2^1450612800 is an apocalyptic number.

1450612800 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 1450612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3370575936).

1450612800 is an abundant number, since it is smaller than the sum of its proper divisors (5290539072).

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

1450612800 is a wasteful number, since it uses less digits than its factorization.

1450612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1450612800 is about 38086.9111375549. The cubic root of 1450612800 is about 1132.0106214172.

The spelling of 1450612800 in words is "one billion, four hundred fifty million, six hundred twelve thousand, eight hundred".