1484390400 has 216 divisors, whose sum is σ = 4940871264. Its totient is φ = 393216000.

The previous prime is 1484390393. The next prime is 1484390407. The reversal of 1484390400 is 40934841.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1484390393) and next prime (1484390407).

It is a super-2 number, since 2×1484390400² = 4406829719224320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1484390407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9830325 + ... + 9830475.

It is an arithmetic number, because the mean of its divisors is an integer number (22874404).

Almost surely, 2^1484390400 is an apocalyptic number.

1484390400 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 1484390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470435632).

1484390400 is an abundant number, since it is smaller than the sum of its proper divisors (3456480864).

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

1484390400 is an frugal number, since it uses more digits than its factorization.

1484390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 1484390400 is about 38527.7873748286. The cubic root of 1484390400 is about 1140.7296037426.

The spelling of 1484390400 in words is "one billion, four hundred eighty-four million, three hundred ninety thousand, four hundred".