429253440 has 224 divisors, whose sum is σ = 1699467264. Its totient is φ = 89180160.

The previous prime is 429253411. The next prime is 429253441. The reversal of 429253440 is 44352924.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429253441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71017 + ... + 76823.

Almost surely, 2^429253440 is an apocalyptic number.

429253440 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 429253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849733632).

429253440 is an abundant number, since it is smaller than the sum of its proper divisors (1270213824).

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

429253440 is a wasteful number, since it uses less digits than its factorization.

429253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5845 (or 5835 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 429253440 is about 20718.4323731309. The cubic root of 429253440 is about 754.3471631035.

The spelling of 429253440 in words is "four hundred twenty-nine million, two hundred fifty-three thousand, four hundred forty".