1935479952 has 240 divisors, whose sum is σ = 6498810240. Its totient is φ = 526030848.

The previous prime is 1935479921. The next prime is 1935479963. The reversal of 1935479952 is 2599745391.

1935479952 is a `hidden beast` number, since 1 + 9 + 3 + 547 + 9 + 95 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2133483 + ... + 2134389.

It is an arithmetic number, because the mean of its divisors is an integer number (27078376).

Almost surely, 2^1935479952 is an apocalyptic number.

1935479952 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 1935479952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249405120).

1935479952 is an abundant number, since it is smaller than the sum of its proper divisors (4563330288).

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

1935479952 is a wasteful number, since it uses less digits than its factorization.

1935479952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1021 counting only the distinct ones).

The product of its digits is 3061800, while the sum is 54.

The square root of 1935479952 is about 43994.0899667217. The cubic root of 1935479952 is about 1246.2243300290.

The spelling of 1935479952 in words is "one billion, nine hundred thirty-five million, four hundred seventy-nine thousand, nine hundred fifty-two".