429414048 has 360 divisors, whose sum is σ = 1541580768. Its totient is φ = 117355392.

The previous prime is 429414001. The next prime is 429414091. The reversal of 429414048 is 840414924.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 18670165 + ... + 18670187.

Almost surely, 2^429414048 is an apocalyptic number.

429414048 is a gapful number since it is divisible by the number (48) 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 429414048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770790384).

429414048 is an abundant number, since it is smaller than the sum of its proper divisors (1112166720).

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

429414048 is an frugal number, since it uses more digits than its factorization.

429414048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 429414048 is about 20722.3079795664. The cubic root of 429414048 is about 754.4412326910.

The spelling of 429414048 in words is "four hundred twenty-nine million, four hundred fourteen thousand, forty-eight".