429675840 has 420 divisors, whose sum is σ = 1692275508. Its totient is φ = 103403520.

The previous prime is 429675839. The next prime is 429675853. The reversal of 429675840 is 48576924.

It is a happy number.

429675840 is a `hidden beast` number, since 4 + 2 + 9 + 67 + 584 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 203233536 + 226442304 = 14256^2 + 15048^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3136252 + ... + 3136388.

Almost surely, 2^429675840 is an apocalyptic number.

429675840 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 429675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846137754).

429675840 is an abundant number, since it is smaller than the sum of its proper divisors (1262599668).

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

429675840 is a wasteful number, since it uses less digits than its factorization.

429675840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 429675840 is about 20728.6236880310. The cubic root of 429675840 is about 754.5945164173.

The spelling of 429675840 in words is "four hundred twenty-nine million, six hundred seventy-five thousand, eight hundred forty".