429678360 has 192 divisors, whose sum is σ = 1465944480. Its totient is φ = 109025280.

The previous prime is 429678323. The next prime is 429678377. The reversal of 429678360 is 63876924.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 634342 + ... + 635018.

Almost surely, 2^429678360 is an apocalyptic number.

429678360 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 429678360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732972240).

429678360 is an abundant number, since it is smaller than the sum of its proper divisors (1036266120).

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

429678360 is a wasteful number, since it uses less digits than its factorization.

429678360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 429678360 is about 20728.6844734537. The cubic root of 429678360 is about 754.5959916181.

The spelling of 429678360 in words is "four hundred twenty-nine million, six hundred seventy-eight thousand, three hundred sixty".