429668400 has 120 divisors (see below), whose sum is σ = 1573026304. Its totient is φ = 98208000.

The previous prime is 429668399. The next prime is 429668417. The reversal of 429668400 is 4866924.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×429668400² = 369229867917120000, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

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, 17176 + ... + 33975.

Almost surely, 2^429668400 is an apocalyptic number.

429668400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

429668400 is an abundant number, since it is smaller than the sum of its proper divisors (1143357904).

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

429668400 is a wasteful number, since it uses less digits than its factorization.

429668400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51179 (or 51168 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 429668400 is about 20728.4442252669. Note that the first 3 decimals coincide. The cubic root of 429668400 is about 754.5901610288.

The spelling of 429668400 in words is "four hundred twenty-nine million, six hundred sixty-eight thousand, four hundred".