1032401415 has 64 divisors (see below), whose sum is σ = 1791590400. Its totient is φ = 505774080.

The previous prime is 1032401399. The next prime is 1032401429. The reversal of 1032401415 is 5141042301.

It is not a de Polignac number, because 1032401415 - 2⁴ = 1032401399 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1032401391 and 1032401400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2299111 + ... + 2299559.

It is an arithmetic number, because the mean of its divisors is an integer number (27993600).

Almost surely, 2^1032401415 is an apocalyptic number.

1032401415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1032401415 is a deficient number, since it is larger than the sum of its proper divisors (759188985).

1032401415 is a wasteful number, since it uses less digits than its factorization.

1032401415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1032401415 is about 32131.0039525689. The cubic root of 1032401415 is about 1010.6858769673.

Adding to 1032401415 its reverse (5141042301), we get a palindrome (6173443716).

The spelling of 1032401415 in words is "one billion, thirty-two million, four hundred one thousand, four hundred fifteen".