1428464400 has 120 divisors (see below), whose sum is σ = 4991879904. Its totient is φ = 346291200.

The previous prime is 1428464371. The next prime is 1428464413. The reversal of 1428464400 is 44648241.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40909 + ... + 67308.

Almost surely, 2^1428464400 is an apocalyptic number.

1428464400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1428464400 is an abundant number, since it is smaller than the sum of its proper divisors (3563415504).

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

1428464400 is a wasteful number, since it uses less digits than its factorization.

1428464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108249 (or 108238 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 1428464400 is about 37795.0314194869. The cubic root of 1428464400 is about 1126.2197535774.

The spelling of 1428464400 in words is "one billion, four hundred twenty-eight million, four hundred sixty-four thousand, four hundred".