429280992 has 96 divisors (see below), whose sum is σ = 1430956800. Its totient is φ = 122649984.

The previous prime is 429280967. The next prime is 429281051. The reversal of 429280992 is 299082924.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29442 + ... + 41537.

It is an arithmetic number, because the mean of its divisors is an integer number (14905800).

Almost surely, 2^429280992 is an apocalyptic number.

429280992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

429280992 is an abundant number, since it is smaller than the sum of its proper divisors (1001675808).

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

429280992 is a wasteful number, since it uses less digits than its factorization.

429280992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71005 (or 70991 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 429280992 is about 20719.0972776325. The cubic root of 429280992 is about 754.3633022313.

The spelling of 429280992 in words is "four hundred twenty-nine million, two hundred eighty thousand, nine hundred ninety-two".