1032415032 has 128 divisors (see below), whose sum is σ = 2993760000. Its totient is φ = 293222400.

The previous prime is 1032415009. The next prime is 1032415039. The reversal of 1032415032 is 2305142301.

It is a super-4 number, since 4×1032415032⁴ (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032415039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2068719 + ... + 2069217.

It is an arithmetic number, because the mean of its divisors is an integer number (23388750).

Almost surely, 2^1032415032 is an apocalyptic number.

1032415032 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 1032415032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496880000).

1032415032 is an abundant number, since it is smaller than the sum of its proper divisors (1961344968).

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

1032415032 is a wasteful number, since it uses less digits than its factorization.

1032415032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1032415032 is about 32131.2158500110. The cubic root of 1032415032 is about 1010.6903204744.

Adding to 1032415032 its reverse (2305142301), we get a palindrome (3337557333).

The spelling of 1032415032 in words is "one billion, thirty-two million, four hundred fifteen thousand, thirty-two".