429401088 has 220 divisors, whose sum is σ = 1331565312. Its totient is φ = 137687040.

The previous prime is 429401069. The next prime is 429401107. The reversal of 429401088 is 880104924.

It is an interprime number because it is at equal distance from previous prime (429401069) and next prime (429401107).

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 an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2571181 + ... + 2571347.

Almost surely, 2^429401088 is an apocalyptic number.

429401088 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 429401088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665782656).

429401088 is an abundant number, since it is smaller than the sum of its proper divisors (902164224).

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

429401088 is a wasteful number, since it uses less digits than its factorization.

429401088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 429401088 is about 20721.9952707262. The cubic root of 429401088 is about 754.4336427695.

The spelling of 429401088 in words is "four hundred twenty-nine million, four hundred one thousand, eighty-eight".