1483190400 has 192 divisors, whose sum is σ = 5000260320. Its totient is φ = 386211840.

The previous prime is 1483190393. The next prime is 1483190437. The reversal of 1483190400 is 40913841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411004 + ... + 414596.

Almost surely, 2^1483190400 is an apocalyptic number.

1483190400 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 1483190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500130160).

1483190400 is an abundant number, since it is smaller than the sum of its proper divisors (3517069920).

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

1483190400 is a wasteful number, since it uses less digits than its factorization.

1483190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3663 (or 3646 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1483190400 is about 38512.2110505227. The cubic root of 1483190400 is about 1140.4221274519.

The spelling of 1483190400 in words is "one billion, four hundred eighty-three million, one hundred ninety thousand, four hundred".