429420672 has 192 divisors, whose sum is σ = 1358884800. Its totient is φ = 129558528.

The previous prime is 429420671. The next prime is 429420713. The reversal of 429420672 is 276024924.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×429420672² = 368804227081863168, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (429420671) 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, 502998 + ... + 503850.

It is an arithmetic number, because the mean of its divisors is an integer number (7077525).

Almost surely, 2^429420672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429420672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679442400).

429420672 is an abundant number, since it is smaller than the sum of its proper divisors (929464128).

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

429420672 is a wasteful number, since it uses less digits than its factorization.

429420672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 429420672 is about 20722.4678067068. The cubic root of 429420672 is about 754.4451119253.

The spelling of 429420672 in words is "four hundred twenty-nine million, four hundred twenty thousand, six hundred seventy-two".