1535479848 has 512 divisors, whose sum is σ = 5573836800. Its totient is φ = 381542400.

The previous prime is 1535479823. The next prime is 1535479859. The reversal of 1535479848 is 8489745351.

1535479848 is a `hidden beast` number, since 1 + 5 + 3 + 547 + 98 + 4 + 8 = 666.

It is a super-2 number, since 2×1535479848² = 4715396727228206208, which contains 22 as substring.

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 = 1535479794 and 1535479803.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32669761 + ... + 32669807.

It is an arithmetic number, because the mean of its divisors is an integer number (10886400).

Almost surely, 2^1535479848 is an apocalyptic number.

1535479848 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 1535479848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786918400).

1535479848 is an abundant number, since it is smaller than the sum of its proper divisors (4038356952).

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

1535479848 is a wasteful number, since it uses less digits than its factorization.

1535479848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 148 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 1535479848 is about 39185.1993487337. The cubic root of 1535479848 is about 1153.6694003959.

The spelling of 1535479848 in words is "one billion, five hundred thirty-five million, four hundred seventy-nine thousand, eight hundred forty-eight".