1033961472 has 102 divisors (see below), whose sum is σ = 2988680942. Its totient is φ = 344457216.

The previous prime is 1033961449. The next prime is 1033961473. The reversal of 1033961472 is 2741693301.

1033961472 is a `hidden beast` number, since 1 + 0 + 3 + 39 + 614 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 603979776 + 429981696 = 24576^2 + 20736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1033961473) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 588948 + ... + 590700.

Almost surely, 2^1033961472 is an apocalyptic number.

1033961472 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 1033961472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494340471).

1033961472 is an abundant number, since it is smaller than the sum of its proper divisors (1954719470).

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

1033961472 is an frugal number, since it uses more digits than its factorization.

1033961472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1033961472 is about 32155.2712941440. The cubic root of 1033961472 is about 1011.1947016760.

The spelling of 1033961472 in words is "one billion, thirty-three million, nine hundred sixty-one thousand, four hundred seventy-two".