429987360 has 384 divisors, whose sum is σ = 1588543488. Its totient is φ = 96768000.

The previous prime is 429987281. The next prime is 429987373. The reversal of 429987360 is 63789924.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6056125 + ... + 6056195.

It is an arithmetic number, because the mean of its divisors is an integer number (4136832).

Almost surely, 2^429987360 is an apocalyptic number.

429987360 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 429987360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794271744).

429987360 is an abundant number, since it is smaller than the sum of its proper divisors (1158556128).

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

429987360 is a wasteful number, since it uses less digits than its factorization.

429987360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 429987360 is about 20736.1365736243. The cubic root of 429987360 is about 754.7768356410.

It can be divided in two parts, 429 and 987360, that added together give a palindrome (987789).

The spelling of 429987360 in words is "four hundred twenty-nine million, nine hundred eighty-seven thousand, three hundred sixty".