1033400745 has 48 divisors (see below), whose sum is σ = 1935919440. Its totient is φ = 506930688.

The previous prime is 1033400737. The next prime is 1033400759. The reversal of 1033400745 is 5470043301.

It can be written as a sum of positive squares in 8 ways, for example, as 75064896 + 958335849 = 8664^2 + 30957^2 .

It is not a de Polignac number, because 1033400745 - 2³ = 1033400737 is a prime.

It is a Curzon number.

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, 168391 + ... + 174419.

It is an arithmetic number, because the mean of its divisors is an integer number (40331655).

Almost surely, 2^1033400745 is an apocalyptic number.

1033400745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1033400745 is a deficient number, since it is larger than the sum of its proper divisors (902518695).

1033400745 is a wasteful number, since it uses less digits than its factorization.

1033400745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6346 (or 6343 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 1033400745 is about 32146.5510591727. The cubic root of 1033400745 is about 1011.0118751669.

The spelling of 1033400745 in words is "one billion, thirty-three million, four hundred thousand, seven hundred forty-five".