1484419872 has 384 divisors, whose sum is σ = 4787693568. Its totient is φ = 398131200.

The previous prime is 1484419823. The next prime is 1484419877. The reversal of 1484419872 is 2789144841.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1484419877) 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, 24334722 + ... + 24334782.

It is an arithmetic number, because the mean of its divisors is an integer number (12467952).

Almost surely, 2^1484419872 is an apocalyptic number.

1484419872 is a gapful number since it is divisible by the number (12) 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 1484419872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393846784).

1484419872 is an abundant number, since it is smaller than the sum of its proper divisors (3303273696).

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

1484419872 is a wasteful number, since it uses less digits than its factorization.

1484419872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 164 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The square root of 1484419872 is about 38528.1698501239. The cubic root of 1484419872 is about 1140.7371532750.

It can be divided in two parts, 14844 and 19872, that added together give a triangular number (34716 = T₂₆₃).

The spelling of 1484419872 in words is "one billion, four hundred eighty-four million, four hundred nineteen thousand, eight hundred seventy-two".