1481054400 has 378 divisors, whose sum is σ = 6126365700. Its totient is φ = 338365440.

The previous prime is 1481054383. The next prime is 1481054411. The reversal of 1481054400 is 44501841.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 704551 + ... + 706649.

Almost surely, 2^1481054400 is an apocalyptic number.

1481054400 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 1481054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063182850).

1481054400 is an abundant number, since it is smaller than the sum of its proper divisors (4645311300).

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

1481054400 is a wasteful number, since it uses less digits than its factorization.

1481054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1481054400 is about 38484.4695948898. The cubic root of 1481054400 is about 1139.8744090638.

The spelling of 1481054400 in words is "one billion, four hundred eighty-one million, fifty-four thousand, four hundred".