1490896800 has 288 divisors, whose sum is σ = 5628389760. Its totient is φ = 380160000.

The previous prime is 1490896751. The next prime is 1490896811. The reversal of 1490896800 is 86980941.

1490896800 is a `hidden beast` number, since 1 + 490 + 89 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 495300 + ... + 498300.

It is an arithmetic number, because the mean of its divisors is an integer number (19543020).

Almost surely, 2^1490896800 is an apocalyptic number.

1490896800 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 1490896800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2814194880).

1490896800 is an abundant number, since it is smaller than the sum of its proper divisors (4137492960).

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

1490896800 is a wasteful number, since it uses less digits than its factorization.

1490896800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3053 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1490896800 is about 38612.1328082249. The cubic root of 1490896800 is about 1142.3938616293.

The spelling of 1490896800 in words is "one billion, four hundred ninety million, eight hundred ninety-six thousand, eight hundred".