429817968 has 40 divisors (see below), whose sum is σ = 1233738000. Its totient is φ = 143272512.

The previous prime is 429817967. The next prime is 429817979. The reversal of 429817968 is 869718924.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429817967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 497043 + ... + 497906.

It is an arithmetic number, because the mean of its divisors is an integer number (30843450).

Almost surely, 2^429817968 is an apocalyptic number.

429817968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

429817968 is an abundant number, since it is smaller than the sum of its proper divisors (803920032).

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

429817968 is a wasteful number, since it uses less digits than its factorization.

429817968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994966 (or 994954 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 429817968 is about 20732.0517074408. The cubic root of 429817968 is about 754.6777087345.

The spelling of 429817968 in words is "four hundred twenty-nine million, eight hundred seventeen thousand, nine hundred sixty-eight".