429279240 has 128 divisors (see below), whose sum is σ = 1468575360. Its totient is φ = 99446784.

The previous prime is 429279239. The next prime is 429279241. The reversal of 429279240 is 42972924.

It is an interprime number because it is at equal distance from previous prime (429279239) and next prime (429279241).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (429279241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18427 + ... + 34613.

It is an arithmetic number, because the mean of its divisors is an integer number (11473245).

Almost surely, 2^429279240 is an apocalyptic number.

429279240 is a gapful number since it is divisible by the number (40) 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 429279240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734287680).

429279240 is an abundant number, since it is smaller than the sum of its proper divisors (1039296120).

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

429279240 is a wasteful number, since it uses less digits than its factorization.

429279240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16231 (or 16227 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 429279240 is about 20719.0549977551. The cubic root of 429279240 is about 754.3622759833.

The spelling of 429279240 in words is "four hundred twenty-nine million, two hundred seventy-nine thousand, two hundred forty".