1029465432 has 96 divisors (see below), whose sum is σ = 2921256000. Its totient is φ = 327128256.

The previous prime is 1029465431. The next prime is 1029465439. The reversal of 1029465432 is 2345649201.

It is a happy number.

1029465432 is a `hidden beast` number, since 102 + 9 + 4 + 6 + 543 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029465431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13031169 + ... + 13031247.

It is an arithmetic number, because the mean of its divisors is an integer number (30429750).

Almost surely, 2^1029465432 is an apocalyptic number.

1029465432 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 1029465432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460628000).

1029465432 is an abundant number, since it is smaller than the sum of its proper divisors (1891790568).

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

1029465432 is an frugal number, since it uses more digits than its factorization.

1029465432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1029465432 is about 32085.2837294608. The cubic root of 1029465432 is about 1009.7268914871.

The spelling of 1029465432 in words is "one billion, twenty-nine million, four hundred sixty-five thousand, four hundred thirty-two".