1483958448 has 320 divisors, whose sum is σ = 5091102720. Its totient is φ = 405070848.

The previous prime is 1483958447. The next prime is 1483958453. The reversal of 1483958448 is 8448593841.

It is a happy number.

1483958448 is a `hidden beast` number, since 14 + 8 + 3 + 9 + 584 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1483958394 and 1483958403.

It is not an unprimeable number, because it can be changed into a prime (1483958447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7532686 + ... + 7532882.

It is an arithmetic number, because the mean of its divisors is an integer number (15909696).

Almost surely, 2^1483958448 is an apocalyptic number.

1483958448 is a gapful number since it is divisible by the number (18) 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 1483958448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545551360).

1483958448 is an abundant number, since it is smaller than the sum of its proper divisors (3607144272).

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

1483958448 is a wasteful number, since it uses less digits than its factorization.

1483958448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 309 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The square root of 1483958448 is about 38522.1812466532. The cubic root of 1483958448 is about 1140.6189436726.

The spelling of 1483958448 in words is "one billion, four hundred eighty-three million, nine hundred fifty-eight thousand, four hundred forty-eight".