429365376 has 192 divisors, whose sum is σ = 1392618240. Its totient is φ = 125798400.

The previous prime is 429365347. The next prime is 429365381. The reversal of 429365376 is 673563924.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×429365376² = 368709252215242752, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 392286 + ... + 393378.

It is an arithmetic number, because the mean of its divisors is an integer number (7253220).

Almost surely, 2^429365376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429365376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696309120).

429365376 is an abundant number, since it is smaller than the sum of its proper divisors (963252864).

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

429365376 is a wasteful number, since it uses less digits than its factorization.

429365376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1140 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 429365376 is about 20721.1335597259. The cubic root of 429365376 is about 754.4127275289.

The spelling of 429365376 in words is "four hundred twenty-nine million, three hundred sixty-five thousand, three hundred seventy-six".