429903040 has 224 divisors, whose sum is σ = 1245339648. Its totient is φ = 138240000.

The previous prime is 429902903. The next prime is 429903043. The reversal of 429903040 is 40309924.

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 (31).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 429902993 and 429903011.

It is not an unprimeable number, because it can be changed into a prime (429903043) 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, 2846965 + ... + 2847115.

It is an arithmetic number, because the mean of its divisors is an integer number (5559552).

Almost surely, 2^429903040 is an apocalyptic number.

429903040 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 429903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622669824).

429903040 is an abundant number, since it is smaller than the sum of its proper divisors (815436608).

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

429903040 is a wasteful number, since it uses less digits than its factorization.

429903040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 429903040 is about 20734.1033083179. The cubic root of 429903040 is about 754.7274954749.

The spelling of 429903040 in words is "four hundred twenty-nine million, nine hundred three thousand, forty".