1475457984 has 448 divisors, whose sum is σ = 5830702080. Its totient is φ = 353341440.

The previous prime is 1475457983. The next prime is 1475458003. The reversal of 1475457984 is 4897545741.

1475457984 is a `hidden beast` number, since 1 + 4 + 7 + 545 + 7 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1475457984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1475457983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1729302 + ... + 1730154.

It is an arithmetic number, because the mean of its divisors is an integer number (13014960).

Almost surely, 2^1475457984 is an apocalyptic number.

1475457984 is a gapful number since it is divisible by the number (14) 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 1475457984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2915351040).

1475457984 is an abundant number, since it is smaller than the sum of its proper divisors (4355244096).

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

1475457984 is a wasteful number, since it uses less digits than its factorization.

1475457984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 889 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The square root of 1475457984 is about 38411.6907204044. The cubic root of 1475457984 is about 1138.4368604117.

The spelling of 1475457984 in words is "one billion, four hundred seventy-five million, four hundred fifty-seven thousand, nine hundred eighty-four".