1429064800 has 36 divisors (see below), whose sum is σ = 3488706396. Its totient is φ = 571625600.

The previous prime is 1429064789. The next prime is 1429064807. The reversal of 1429064800 is 84609241.

It is a super-3 number, since 3×1429064800³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429064807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 892366 + ... + 893965.

It is an arithmetic number, because the mean of its divisors is an integer number (96908511).

Almost surely, 2^1429064800 is an apocalyptic number.

1429064800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1429064800 is an abundant number, since it is smaller than the sum of its proper divisors (2059641596).

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

1429064800 is a wasteful number, since it uses less digits than its factorization.

1429064800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786351 (or 1786338 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 1429064800 is about 37802.9734280255. The cubic root of 1429064800 is about 1126.3775191767.

The spelling of 1429064800 in words is "one billion, four hundred twenty-nine million, sixty-four thousand, eight hundred".