429036480 has 448 divisors, whose sum is σ = 1685422080. Its totient is φ = 102187008.

The previous prime is 429036409. The next prime is 429036481. The reversal of 429036480 is 84630924.

It is a happy number.

429036480 is a `hidden beast` number, since 4 + 2 + 9 + 0 + 3 + 648 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429036481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3378177 + ... + 3378303.

Almost surely, 2^429036480 is an apocalyptic number.

429036480 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 429036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842711040).

429036480 is an abundant number, since it is smaller than the sum of its proper divisors (1256385600).

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

429036480 is a wasteful number, since it uses less digits than its factorization.

429036480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 429036480 is about 20713.1957939860. The cubic root of 429036480 is about 754.2200503641.

The spelling of 429036480 in words is "four hundred twenty-nine million, thirty-six thousand, four hundred eighty".