1020414432 has 48 divisors (see below), whose sum is σ = 2686621392. Its totient is φ = 339118080.

The previous prime is 1020414427. The next prime is 1020414463. The reversal of 1020414432 is 2344140201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1020414432² = 2082491226067765248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020414399 and 1020414408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16582 + ... + 48122.

It is an arithmetic number, because the mean of its divisors is an integer number (55971279).

Almost surely, 2^1020414432 is an apocalyptic number.

1020414432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020414432 is an abundant number, since it is smaller than the sum of its proper divisors (1666206960).

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

1020414432 is a wasteful number, since it uses less digits than its factorization.

1020414432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31891 (or 31883 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1020414432 is about 31943.9263710647. The cubic root of 1020414432 is about 1006.7590233428.

Adding to 1020414432 its reverse (2344140201), we get a palindrome (3364554633).

The spelling of 1020414432 in words is "one billion, twenty million, four hundred fourteen thousand, four hundred thirty-two".